Sin 75 degrees in fraction

The integral of sin^2 is one-half of x, minus one-eighth of the sine of 4x, plus a constant. Using mathematical notation, the integral of sine squared can be written as sin^2 x dx ...

Sine and cosine are the fundamental trigonometric functions arising from the previous diagram:. The sine of theta (sin θ) is the hypotenuse's vertical projection (green line); andThe cosine of theta (cos θ) is the hypotenuse's horizontal projection (blue line).We can rotate the radial line through the four quadrants and obtain the values of the trig …sin(70 degrees) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…The hypothenuse AC can easily be calculated now: AC = √BC2 +AB2 = √12 +12 = √2. The sine is defined as the ratio between the opposed side and the hypothenuse. Therefore, sin45o = 1 √2 = √2 2. In decimal form, it is roughly 0.7071067812. Answer link. sin45^@=sqrt (2)/2 This is a common value, in which sin45^@=1/sqrt2. Explanation: For sin 5 degrees, the angle 5° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 5° value = 0.0871557. . . Since the sine function is a periodic function, we can represent sin 5° as, sin 5 degrees = sin (5° + n × 360°), n ∈ Z. ⇒ sin 5° = sin 365° = sin 725 ... Explanation: For sin 25 degrees, the angle 25° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 25° value = 0.4226182. . . Since the sine function is a periodic function, we can represent sin 25° as, sin 25 degrees = sin (25° + n × 360°), n ∈ Z. ⇒ sin 25° = sin 385° = sin ... Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to ... \sin (x)+\sin ... as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below. Addition: Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations.Or you can say, the Sine of angle α is equal to the ratio of the opposite side (perpendicular) and hypotenuse of a right-angled triangle. The trigonometry ratios sine, cosine and tangent for an angle α are the primary functions. The value for sin 45 degrees and other trigonometry ratios for all the degrees 0°, 30°, 60°, 90°,180° are ...

Setting grand goals can feel great in the moment, but you're probably setting yourself up for failure. Research on New Year’s resolutions shows that 80% of them fail in the longter...Join Teachoo Black. What is value of sin 18 Let θ = 18° 5θ = 5 × 18° = 90° 2θ + 3θ = 90° 2θ = 90° – 3θ sin 2θ = sin (90° – 3θ) sin 2θ = cos 3θ 2 sin θ cos θ = 4 cos3 θ – 3 cos θ 2 sin θ cos θ – 4 cos3 θ + 3 cos θ = 0 cos θ (2 sin θ – 4 cos2 θ + 3) = 0 2 sin θ – 4 cos2 θ + 3 = 0 2 sin θ – 4 (1 – sin2.Increased Offer! Hilton No Annual Fee 70K + Free Night Cert Offer! Hilton Grand Vacations has a new timeshare offer. You can get a three night stay and 50,000 Hilton Honors points ...Learn how to derive the exact value of sine of angle 75 degrees in fraction form using trigonometric identities and simplification. The answer is sin (75°) = 6 + 2 4.Setting grand goals can feel great in the moment, but you're probably setting yourself up for failure. Research on New Year’s resolutions shows that 80% of them fail in the longter...

Apr 16, 2024 · Transcript. Ex 3.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Show More. Next: Ex 3.3, 5 (ii) → Go Ad-free. Chapter 3 Class 11 Trigonometric Functions. InvestorPlace - Stock Market News, Stock Advice & Trading Tips Environmental, social, governance (ESG) investing has been a major theme in rec... InvestorPlace - Stock Market N...Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step Trigonometry. Find the Exact Value sin (7.5) sin(7.5) sin ( 7.5) Rewrite 7.5 7.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(15 2) sin ( 15 2) Apply the sine half - angle identity. ±√ 1−cos(15) 2 ± 1 - cos ( 15) 2. Change the ± ± to + + because sine is positive in the first quadrant.

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Use the known values of sine and cosine for 45 degrees and 30 degrees to evaluate the expression: sin (75 ∘) = 2 √ 2 ⋅ 2 √ 3 + 2 √ 2 ⋅ 2 1 Simplify the expression: sin (75 ∘) = 4 √ 6 + √ 2 Therefore, the sine of 75 degrees is approximately 0.9659258263, as calculated using a calculator, or 4 √ 6 + √ 2 , as obtained using ...Medicine Matters Sharing successes, challenges and daily happenings in the Department of Medicine ARTICLE: Endomyocardial Biopsy Characterization of Heart Failure With Preserved Ej...Sin 75 Degrees. If you want to know what is sin 75 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of sin 75°: sin75° = (√6+√2)/4. sin 75° = (√6+√2)/4. sin 75 degrees = (√6+√2)/4. The sin of 75 degrees is (√6+√2)/4, the same as sin ...Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step

Cos 15° in fraction: (√6 + √2)/4; Cos (-15 degrees): 0.9659258. . . Cos 15° in radians ... (90° - 15°) = sin 75° ☛ Also Check: cos 45 degrees; cos 90 degrees; cos 150 degrees; cos 140 degrees; cos 144 degrees; cos 720 degrees; Examples Using Cos 15 Degrees. Example 1: Find the value of 2 cos(15°)/3 sin(75°). Solution: Using ...The hypothenuse AC can easily be calculated now: AC = √BC2 +AB2 = √12 +12 = √2. The sine is defined as the ratio between the opposed side and the hypothenuse. Therefore, sin45o = 1 √2 = √2 2. In decimal form, it is roughly 0.7071067812. Answer link. sin45^@=sqrt (2)/2 This is a common value, in which sin45^@=1/sqrt2.Apr 30, 2020 ... This video demonstrates how to use a scientific Casio calculator, such as the Casio fx83gtx to find the value of sin, to find the value of ...Sep 25, 2016 ... Exact Value of sin(75). The Math Sorcerer•16K ... Degrees & Radians, Trigonometry ... Unit Circle Trigonometry - Sin Cos Tan - Radians & Degrees.Answer: tan (150°) = -0.5773502692. tan (150°) is exactly: -√3/3. Note: angle unit is set to degrees. Use our tan (x) calculator to find the exact value of tangent of 150 degrees as a fraction - tan (150 °) - or the tangent of any angle in degrees and in radians.Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 ...To find the value of sin 22 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 22° angle with the positive x-axis. The sin of 22 degrees equals the y-coordinate (0.3746) of the point of intersection (0.9272, 0.3746) of unit circle and r. Hence the value of sin 22° = y = 0.3746 (approx)Exact Form: √2+√6 4 2 + 6 4. Decimal Form: 0.96592582… 0.96592582 … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Online degrees allow busy people to continue their education. Find out what employers think of online degrees and how to evaluate online degree programs. Advertisement Earning a de...This is a simple trigonometric sine calculator to calculate the sin value in degrees or radians. In order to calculate the sin value on the calculator, just enter the angle and select the angle type as degrees (°) or radians (rad) from the drop down select menu. The calculator will instantly gives you in the result of the sine value. α sin (α)

Plugging the angle value, in degrees, in the previous formula, we get: α rad = π × 75 /180 = . π × 75÷15/180÷15 = 5π/12 radian, when reduced to lowest fraction in terms of π.. Note: 5π/12 rad can be expressed as real number or as a decimal as 0.41666666666667π rad = 1.3089969389957 radians.

Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 ...Answer: sin (56°) = 0.8290375726. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 56 degrees - sin (56 °) - or the sine of any angle in degrees and in radians.Exact Form: √2+√6 4 2 + 6 4. Decimal Form: 0.96592582… 0.96592582 … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics …From the above picture, sin, cos, or csc have a meaning for angles between 0 and 90 degrees (or between 0 and ... in turn, would require us to find sin(75°). For that ... The partial fraction decomposition calculator decomposes your rational expression with numerator and denominator up to degree 3 into partial fractions (if possibleStep 1: Plug the angle value, in degrees, in the formula above: radian measure = (75 × π)/180. Step 2: Rearrange the terms: radian measure = π × 75/180. Step 3: Reduce or simplify the fraction of π if necessary. Calculating the gcd of 75 and 180 [gcd(75,180)], we've found that it equals 15.report flag outlined. Explanation: in74° = 0.96126. sin 74° = 0.96126. sin 74 degrees = 0.96126. The sin of 74 degrees is 0.96126, the same as sin of 74 degrees in radians. To obtain 74 degrees in radian multiply 74° by π / 180° = 37/90 π. Sin 74degrees = sin (37/90 × π). Our results of sin74° have been rounded to five decimal places.Step 2: Find the value of given trigonometric function in terms of fraction We know that, sin ⁡ θ = P H , and for angle θ = 37 o , P = 3 and H = 5 . So, sin ⁡ 37 o = 3 5 .To find the value of sin 35 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 35° angle with the positive x-axis. The sin of 35 degrees equals the y-coordinate (0.5736) of the point of intersection (0.8192, 0.5736) of unit circle and r. Hence the value of sin 35° = y = 0.5736 (approx)color(red)(sin(75) = (1+sqrt3)/(2sqrt2)) > sin(75) = sin(45 + 30) The sine sum identity is: sin(A+B) = sinAcosB+cosAsinB ∴ sin(75) = sin(45)cos(30) + cos(45)sin(30) We can use the unit circle to work out the values. ! ... How do you use the sum and difference identities to find the exact value of tan 105 degrees? How do you …

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A radian is a unit of measurement for angles. It measures the size of an angle as the ratio of the length of the arc cut out by the angle on a circle, to the radius of the circle. One radian is approximately equal to 57.3 degrees.a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees. secant. the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos (θ) sin. sin (θ) is the ratio of the opposite side of angle θ ...sin(75 degrees) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & …Cos 75 degrees is the value of cosine trigonometric function for an angle equal to 75 degrees. Understand methods to find the value of cos 75 degrees with examples and FAQs. ... Cos 75° in fraction: (√6 - √2)/4; Cos (-75 degrees): 0.2588190. . . Cos 75° in radians: cos (5π/12) or cos ... sin(90° - 75°) = sin 15° Cos 75 Degrees Using ... Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... degrees/360 = fraction. 75/360 = 5/24. 75 degrees = 5/24. Below is an illustration showing you what 75 degrees and 5/24 of a circle looks like. To create the illustration above showing you 75 degrees, we first drew a circle and then drew two lines from the center, separated by 75 degrees. The slice that the two lines create inside the circle is ...Use the known values of sine and cosine for 45 degrees and 30 degrees to evaluate the expression: sin (75 ∘) = 2 √ 2 ⋅ 2 √ 3 + 2 √ 2 ⋅ 2 1 Simplify the expression: sin (75 ∘) = 4 √ 6 + √ 2 Therefore, the sine of 75 degrees is approximately 0.9659258263, as calculated using a calculator, or 4 √ 6 + √ 2 , as obtained using ...The formula to convert radians to degrees: degrees = radians * 180 / π What is cotangent equal to? The cotangent function (cot(x)), is the reciprocal of the tangent function.cot(x) = cos(x) / sin(x)Sin 150 degrees is the value of sine trigonometric function for an angle equal to 150 degrees. Understand methods to find the value of sin 150 degrees with examples and FAQs. ... Sin 150° in fraction: 1/2; Sin (-150 degrees):-0.5; Sin 150° in radians: sin (5π/6) or sin ... Using the sin 2a formula, 2 sin 75° cos 75° = sin(2 × 75°) ...Explanation: For sin 56 degrees, the angle 56° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 56° value = 0.8290375. . . ⇒ sin 56° = sin 416° = sin 776°, and so on. Note: Since, sine is an odd function, the value of sin (-56°) = -sin (56°). ….

Sin 15 degrees is the value of sine trigonometric function for an angle equal to 15 degrees. Understand methods to find the value of sin 15 degrees with examples and FAQs. ... Sin 15° in fraction: (√6 - √2)/4; Sin (-15 degrees):-0.2588190. . . Sin 15° in radians: sin (π/12) or sin ... Find the value of 5 sin(15°)/7 cos(75°). Solution ...Sine table. CalcItFast. Math Sine Calculator Sine Calculator. Trigonometric sine calculator. Sine rule. Sine table. Value. Angle Type ... Sine of 75.5 degrees Sine of 41 degrees Sine of 65 radians Sine of 59 degrees ...Exact Form: √2+√6 4 2 + 6 4. Decimal Form: 0.96592582… 0.96592582 … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics … Trigonometry. Find the Exact Value sin (105) sin(105) sin ( 105) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(75) sin ( 75) Split 75 75 into two angles where the values of the six trigonometric functions are known. sin(30+45) sin ( 30 + 45) Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal ... \sin (75)\cos (15) \sin (120) ... Calculate trignometric equations, prove identities and evaluate functions step-by-step. trigonometry-calculator. 75 degrees exact …We convert degrees to radians because radians provide a more natural and consistent unit for measuring angles in mathematical calculations and trigonometric functions. Is 180 equivalent to 2π? 180 degrees is equivalent to π radians, 360 degress is equivalent to 2π.The value of sin θ is positive when θ lies between 0 and 90 degrees. Therefore, x = sin θ = sin 18° = (-1 + √5)/4. Or. sin 18° = (√5 – 1)/4. Sin 18 Degrees in Fraction. The value of sin 18 degrees can be expressed in terms of a fraction as given below: sin 18° = (√5 – 1)/4 = (2.23606798… – 1)/4 = 1.23606798…/4 = 0.309016995…Explanation: For sin 105 degrees, the angle 105° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 105° value = (√6 + √2)/4 or 0.9659258. . . Since the sine function is a periodic function, we can represent sin 105° as, sin 105 degrees = sin (105° + n × 360°), n ∈ Z.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Sin 75 degrees in fraction, In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. We know by formulas that sin(A+B) = sinA.cosB+sinB.cosA, To convert from degrees to radians, multiply the number of degrees by π/180. This will give you the measurement in radians. If you have an angle that's 90 degrees, and you want to know what it is in radians, you multiply 90 by π/180. This gives you π/2. Created by Sal Khan and Monterey Institute for Technology and Education., Method 2. By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. As given, sin (90° +30°) = cos 30°. It means that sin 120° = cos 30°. We know that the value of cos 30 degrees is √3/2., It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan)., Exact Form: √2+√6 4 2 + 6 4. Decimal Form: 0.96592582… 0.96592582 … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics …, Exact Form: √2+√6 4 2 + 6 4. Decimal Form: 0.96592582… 0.96592582 … Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor., Tan (15 °) can be found if we know the value of sin 15 degrees and cos 15 degrees. The tangent of an angle is equal to the ratio of sine and cosine functions of the same angle, in the right angle triangle. Therefore, once we have found the values of sin 15 degrees and cos 15 degrees, we can easily find the corresponding tangent value., A radian is a unit of measurement for angles. It measures the size of an angle as the ratio of the length of the arc cut out by the angle on a circle, to the radius of the circle. One radian is approximately equal to 57.3 degrees., Find the Exact Value sin(70 degrees ) Step 1. The result can be shown in multiple forms. Exact Form: Decimal Form:, sin(225°) sin ( 225 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(45) - sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms., Jun 5, 2023 · The sine of an angle is the length of the opposite side divided by the length of the hypotenuse with the assumption that the angle is acute (. 0 ° < α < 90 °. \small0\degree < \alpha < 90\degree 0° < α < 90° or. 0 < α < π / 2. \small0 < \alpha < \pi/2 0 < α < π/2 ). The other sine definition is based on the unit circle. , Precalculus. Find the Exact Value sin (67.5) sin(67.5) sin ( 67.5) Rewrite 67.5 67.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(135 2) sin ( 135 2) Apply the sine half - angle identity. ±√ 1−cos(135) 2 ± 1 - cos ( 135) 2. Change the ± ± to + + because sine is positive in the first quadrant., Step 1: Plug the angle value, in degrees, in the formula above: radian measure = (75 × π)/180. Step 2: Rearrange the terms: radian measure = π × 75/180. Step 3: Reduce or simplify the fraction of π if necessary. Calculating the gcd of 75 and 180 [gcd(75,180)], we've found that it equals 15., The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the ratio of the length of the adjacent side to the hypotenuse. It is the complement to the sine. In the illustration below, cos (α) = b/c and cos (β) = a/c. Since cos (α) = b/c, from this definition it follows that the ..., Free math problem solver answers your trigonometry homework questions with step-by-step explanations., The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the ratio of the length of the adjacent side to the hypotenuse. It is the complement to the sine. In the illustration below, cos (α) = b/c and cos (β) = a/c. Since cos (α) = b/c, from this definition it follows that the ..., Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor., Let's look into the steps to find the value of sin 75°. Explanation: We can write sin 75° as, sin 75° = sin (45° +30° ) We know that, sin (A + B) = sin A. cos B + cos A. sin B. Thus, sin (45° + 30° ) = sin 45° . cos 30° + cos 45° . sin 30° ----- (1) From trigonometric table, we have the following values, sin 30° = 1/2, sin 45° = 1 ... , In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. We know by formulas that sin(A+B) = sinA.cosB+sinB.cosA, sin80° = 0.98481. sin 80° = 0.98481. sin 80 degrees = 0.98481. The sin of 80 degrees is 0.98481, the same as sin of 80 degrees in radians. To obtain 80 degrees in radian multiply 80° by π / 180° = 4/9 π. Sin 80degrees = sin (4/9 × π). Our results of sin80° have been rounded to five decimal places., sin 35° = 0.57358. sin 35 degrees = 0.57358. The sin of 35 degrees is 0.57358, the same as sin of 35 degrees in radians. To obtain 35 degrees in radian multiply 35° by π / 180° = 7/36 π. Sin 35degrees = sin (7/36 × π). Our results of sin35° have been rounded to five decimal places. If you want sine 35° with higher accuracy, then use ..., Learn how to use trigonometric identities and tables to find the value of sin75° in fraction form. The answer is (√3 + 1)/ (2√2)., To find the value of tan 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form 75° angle with the positive x-axis. The tan of 75 degrees equals the y-coordinate (0.9659) divided by x-coordinate (0.2588) of the point of intersection (0.2588, 0.9659) of unit circle and r. Hence the value of tan 75° = y/x = 3.7321 (approx)., Find the value of tan 75 degrees? Get the answer to this question and access a vast question bank that is tailored for students. ... tan 75 0 = tan 45 0 + tan 30 0 1-tan 45 0 tan 30 0 = 1 + 1 3 1-1 3 = 3 + 1 3-1. Hence, ... Q. Find the value of sin 75 0. Q. Find the value of c o s 750. Q. Find the value of c o s e c 750 ..., Value of sin 15 degrees can be created with the use of trigonometric functions.The word trigonometry comes from the Greek words trigonon (“triangle”) and metron (“to measure”).. The value of sin 15 degrees can be represented in terms of fractions form.; Trigonometry is the branch of mathematics with specific functions of …, My Delano Las Vegas review goes over all of the ins and outs of one of the most underrated properties in sin city. A great Amex FHR option. Increased Offer! Hilton No Annual Fee 70..., Solution : The value of sin 75 degrees is 3 + 1 2 2. Proof : We will write sin 75 as sin (45 + 30). By using formula sin (A + B) = sin A cos B + cos A sin B,, sin16° = 0.27564. sin 16° = 0.27564. sin 16 degrees = 0.27564. The sin of 16 degrees is 0.27564, the same as sin of 16 degrees in radians. To obtain 16 degrees in radian multiply 16° by π / 180° = 4/45 π. Sin 16degrees = sin (4/45 × π). Our results of sin16° have been rounded to five decimal places. If you want sine 16° with higher ..., The value of Cos 15 is 0.96592582, it can also be written as Cos (45-30) º. Cos 15 º can be calculated in few ways, one of them being Cos 15 º = Cos (45-30) º and the other being Cos 2θ=2Cos2θ-1, In this if Ɵ = 15 º then Cos 15 º can be calculated by using Cos 30 º using the trigonometric table. We will be using both the methods to ..., Find exact value of sin (105) Ans: (sqrt(2 + sqrt3)/2) sin (105) = sin (15 + 90) = cos 15. First find (cos 15). Call cos 15 = cos x Apply the trig identity: cos 2x = 2cos^2 x - 1. cos 2x = cos (30) = sqrt3/2 = 2cos^2 x - 1 2cos^2 x = 1 + sqrt3/2 = (2 + sqrt3)/2 cos^2 x = (2 + sqrt3)/4 cos x = cos 15 = (sqrt(2 + sqrt3)/2. (since cos 15 is positive) sin (105) = cos …, The sine of angle 45 degrees is written as sine of pi divided by four radians in circular system. So, the sine of π divided by 4 radians is equal to 1 divided by square root of 2 in fraction form and its value in decimal form is equal to 0.7071 approximately. sin. ⁡. ( …, Trigonometry. Find the Exact Value sin (7.5) sin(7.5) sin ( 7.5) Rewrite 7.5 7.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(15 2) sin ( 15 2) Apply the sine half - angle identity. ±√ 1−cos(15) 2 ± 1 - cos ( 15) 2. Change the ± ± to + + because sine is positive in the first quadrant., With the right music degree, you could be on the way to your dream job in the music business. 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