Sin 75 degrees in fraction

sin 37° = 0.60182. sin 37 degrees = 0.60182. The sin of 37 degrees is 0.60182, the same as sin of 37 degrees in radians. To obtain 37 degrees in radian multiply 37° by π / 180° = 37/180 π. Sin 37degrees = sin (37/180 × π). Our results of sin37° have been rounded to five decimal places. If you want sine 37° with higher accuracy, then ...

Sin 75 degrees in fraction. Trigonometric Sine Values Chart in Degrees. This table provides the sin values for each angle from 0° through 360°. α. 0°. 30°. 45°. 60°.

Sin 90 degrees is equal to one. This degree value can also be expressed in radians as sin(?/2) = 1. This value of the sine function corresponds to one-fourth of the complete arc di...

12 sin x − 5 cos x . Find the maximum and minimum values of each of the following trigonometrical expression: \[5 \cos x + 3 \sin \left( \frac{\pi}{6} - x \right) + 4\] Write the maximum and minimum values of 3 cos x + 4 sin x + 5. If A + B = C, then write the value of tan A tan B tan C. If 3 sin x + 4 cos x = 5, then 4 sin x − 3 cos x =For sin 70 degrees, the angle 70° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 70° value = 0.9396926. . . ⇒ sin 70° = sin 430° = sin 790°, and so on. Note: Since, sine is an odd function, the value of sin (-70°) = …17 best hotels in Las Vegas, from large casinos to iconic residences. With more than 150,000 hotel rooms, Las Vegas is home to many top-notch hotel choices. Whether you’re after a ...Answer: sin (60°) = 0.8660254038. sin (60°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 60 degrees - sin (60 °) - or the sine of any angle in degrees and in radians.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)sin ⁡ ( 45 °) = 2 / 2. \sin (45\degree) = \sqrt {2}/2 sin(45°) = 2. . /2. Other interesting angles are 30\degree 30° and 60\degree 60°, as they appear in other special right triangles. For these angles, we have the sine of 30 and the sine of 60 degrees. sin ⁡ ( 30 °) = 1 / 2. \sin (30\degree) = 1/2 sin(30°) = 1/2.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 …

Learn how to calculate the value of sin 75° using the formula sin (A + B) = sin A cos B + cos A sin B. See the step-by-step solution and similar questions on trigonometric ratios.The value of sin75° is (√3 + 1)/ (2√2). This value represents the ratio of the length of the side opposite the angle of 75 degrees to the length of the hypotenuse in a right triangle. Sin75° is an important trigonometric value that has applications in various fields, including mathematics, physics, and engineering.Answer: sin (75°) = 0.9659258263. sin (75°) is exactly: (√2/4) (√3 + 1) Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 75 degrees - sin (75 °) - or the sine of any angle in degrees and in radians. tan (75°) = 3.7320508076. tan (75°) is exactly: 2 + √3. Note: angle unit is set to degrees. Use our tan (x) calculator to find the exact value of tangent of 75 degrees - tan (75 °) - or the tangent of any angle in degrees and in radians. \sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi \cos (x)-\sin (x)=0 ; 3\tan ^3(A)-\tan (A)=0,\:A\in \:\left[0,\:360\right] \sin (75)\cos (15) \sin (120) \csc (-\frac{53\pi }{6}) prove\:\tan^2(x) …\sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi \cos (x)-\sin (x)=0 ; 3\tan ^3(A)-\tan (A)=0,\:A\in \:\left[0,\:360\right] \sin (75)\cos (15) \sin (120) \csc (-\frac{53\pi }{6}) prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} Show More

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).For sin 20 degrees, the angle 20° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 20° value = 0.3420201. . . Since the sine function is a periodic function, we can represent sin 20° as, sin 20 degrees = sin (20° + n × 360°), n ∈ Z. ⇒ sin 20° = sin 380° = sin 740°, and so on.Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graphRoman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal Scientific Notation Distance Weight Time Volume. Topic. Pre Algebra; Algebra; Pre Calculus; ... \tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1 …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 ...

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Trigonometry. Find the Exact Value sin (22.5 degrees ) sin(22.5°) sin ( 22.5 °) Rewrite 22.5° 22.5 ° as an angle where the values of the six trigonometric functions are known divided by 2 2. sin(45 2) sin ( 45 2) Apply the sine half - angle identity. ±√ 1−cos(45) 2 ± 1 - cos ( 45) 2. Change the ± ± to + + because sine is positive in ...Investors may want to turn toward these sin stocks as they offer high dividend yields and resistance against recessions. These sin stocks are undervalued and offer high yields Sour...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)Trigonometry. Find the Exact Value sin (15) sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30)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 ...Discover what courses you take as an English major and how this degree can prepare you for a career in publishing, writing, or media and communications. Updated May 23, 2023 thebes...

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Simplify Using Half-Angle Formula sin(75) Step 1. Split into two angles where the values of the six trigonometric functions are known. Step 2. Apply the sum of angles ...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 Scientific Notation Distance Weight Time Volume. Topic. Pre Algebra; ... simplify\:\frac{\sin^4(x)-\cos^4(x)}{\sin^2(x)-\cos^2(x)} …Sep 7, 2018 · In this video, we are going to find the value of the sine of 75 degrees. Here, I have applied the identity sin(A + B) or sin(x + y).#sineof75 #sin75You can e... What is the exact value of sin(75) degrees sin75º=sin(30)º+45º) =sin 30 cos 45+cos 30 sin 45 ... sin(75°) = sin(45°+30°) = sin(45°)cos(30°)+cos(45°)sin ...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)Arcsine is an inverse of the sine function. In other words, it helps to find the angle of a triangle that has a known value of sine: arcsin (x) = y iff x = sin (y) As sine's codomain for real numbers is [−1, 1] , we can only calculate arcsine for numbers in that interval. This means that the domain of arcsin (for real results) is -1 ≤ x ≤ 1.What is the maximum value of a sin θ + b cos θ Q. Jack wants to equally distribute $4561 among 9 of his employees. The given image shows the steps followed by Jack to calculate the share of each employee.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 …Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent ... 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 Scientific Notation Distance ... \sin (75)\cos …Free math problem solver answers your trigonometry homework questions with step-by-step explanations.

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 ...

prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} prove\:\frac{\sin(3x)+\sin(7x ...This handbook will help you plan your study time, beat procrastination, memorise the info and get your notes in order. 8 study hacks, 3 revision templates, 6 revision techniques, 10 exam and self-care tips.Step 4: Determine the value of tan. The tan is equal to sin divided by cos. tan = sin/cos. To determine the value of tan at 0° divide the value of sin at 0° by the value of cos at 0°. See the example below. tan 0°= 0/1 = 0. Similarly, the table would be. …Trigonometry. Find the Exact Value sin (165) sin(165) sin ( 165) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation.Formula for compound angles of sine, cosine and tangent trigonometric ratios are given as follows: We are supposed to find the value of sin 75°. 75 can also be written as 30 + 45. We will apply trigonometric ratios of compound angles. We know that sin 30° = $\dfrac {1} {2}$, cos 45° = sin 45° = $\dfrac {1} {\sqrt {2}}$ and cos 30 ...Investors may want to turn toward these sin stocks as they offer high dividend yields and resistance against recessions. These sin stocks are undervalued and offer high yields Sour...For sin 70 degrees, the angle 70° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 70° value = 0.9396926. . . ⇒ sin 70° = sin 430° = sin 790°, and so on. Note: Since, sine is an odd function, the value of sin (-70°) = …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).For sin 20 degrees, the angle 20° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 20° value = 0.3420201. . . Since the sine function is a periodic function, we can represent sin 20° as, sin 20 degrees = sin (20° + n × 360°), n ∈ Z. ⇒ sin 20° = sin 380° = sin 740°, and so on.

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Trigonometry. Convert from Degrees to Radians sin (75) sin(75) sin ( 75) To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. The exact value of sin(75) sin ( 75) is √2+√6 4 2 + 6 4. Tap for more steps... √2+√6 4 ⋅ π 180 2 + 6 4 ⋅ π 180 radians. Multiply √2+√6 ...Advertisement The various components of crude oil have different sizes, weights and boiling temperatures; so, the first step is to separate these components. Because they have diff...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.Lufthansa First Class was an incredible way to fly. Read our in-depth review of a flight from Frankfurt to Singapore onboard this incredible airline. We may be compensated when you...Advertisement The various components of crude oil have different sizes, weights and boiling temperatures; so, the first step is to separate these components. Because they have diff...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.What is the exact value of sin(75) degrees sin75º=sin(30)º+45º) =sin 30 cos 45+cos 30 sin 45 ... sin(75°) = sin(45°+30°) = sin(45°)cos(30°)+cos(45°)sin ...Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees ... -\sin^2(x)=\tan^2(x)\sin^2(x ...17 best hotels in Las Vegas, from large casinos to iconic residences. With more than 150,000 hotel rooms, Las Vegas is home to many top-notch hotel choices. Whether you’re after a ... ….

sin 37° = 0.60182. sin 37 degrees = 0.60182. The sin of 37 degrees is 0.60182, the same as sin of 37 degrees in radians. To obtain 37 degrees in radian multiply 37° by π / 180° = 37/180 π. Sin 37degrees = sin (37/180 × π). Our results of sin37° have been rounded to five decimal places. If you want sine 37° with higher accuracy, then ...We would like to show you a description here but the site won’t allow us. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... Value of Sin 15 degrees can be found by the help of other trigonometric ratios at various degrees. We use sin 30 degrees to calculate the value of sin 15. Login. ... The value of cos 15 degrees, in the form of fraction, is √3+1/2√2. Question: What is …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. 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. In this video we are converting a degree into a fraction. In this video the fractions are not being simplified in lowest term.DEGREE CONVERSION PLAYLISThttps...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} prove\:\frac{\sin(3x)+\sin(7x ...Sin 90 degrees is equal to one. This degree value can also be expressed in radians as sin(?/2) = 1. This value of the sine function corresponds to one-fourth of the complete arc di... Sin 75 degrees in fraction, The sin of 15 degrees equals the y-coordinate whereas cos of 5 degrees equals the x-coordinates of the point of intersection of unit circle and r. Whenever we plot an angle, its cosine value lies on the horizontal x-axis whereas as its sine value lies on the y-axis., Trigonometry. Find the Exact Value sin (165) sin(165) sin ( 165) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation., In this video, we are going to find the value of the sine of 75 degrees. Here, I have applied the identity sin(A + B) or sin(x + y).#sineof75 #sin75You can e..., Find the Exact Value sin(75 degrees ) Step 1. Split into two angles where the values of the six trigonometric functions are known. Step 2. Apply the sum of angles ..., Discover what courses you take as an English major and how this degree can prepare you for a career in publishing, writing, or media and communications. Updated May 23, 2023 thebes..., 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 ..., prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} prove\:\csc(2x)=\frac{\sec(x)}{2\sin(x)} prove\:\frac{\sin(3x)+\sin(7x ..., 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 …, To find the value of sin 54 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 54° angle with the positive x-axis. The sin of 54 degrees equals the y-coordinate (0.809) of the point of intersection (0.5878, 0.809) of unit circle and …, Find the Exact Value sin(70 degrees ) Step 1. The result can be shown in multiple forms. Exact Form: Decimal Form: ..., In this video we are converting a degree into a fraction. In this video the fractions are not being simplified in lowest term.DEGREE CONVERSION PLAYLISThttps..., 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 ..., Trigonometry. Find the Exact Value sin (15) sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30), 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 30° = opposite side/hypotenuse side. We know that, Sin 30° = BD/AB = a/2a = 1 / 2. Therefore, Sin 30 degree equals to the fractional value of 1/ 2. Sin 30° = 1 / 2. Therefore, sin 30 value is 1/2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°., InvestorPlace - Stock Market News, Stock Advice & Trading Tips Environmental, social, governance (ESG) investing has been a major theme in rec... InvestorPlace - Stock Market N..., This video works to determine the exact value for the sine of 75 degrees in two different ways: using the sum formula for sine and using the half-angle ident..., Discover available jobs for individuals with engineering degrees, along with ways that a master degree, certification, and licensure can grow your career. Updated May 23, 2023 theb..., 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., Find the Exact Value sin(70 degrees ) Step 1. The result can be shown in multiple forms. Exact Form: Decimal Form: ..., From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1. Cos 30°= Sin 60° = √3/2. Cos 45° = …, Read all about Singapore Changi Airport (SIN) here as TPG brings you all related news, deals, reviews and more. Singapore Changi Airport is one of the largest transportation hubs i..., 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..., 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 ..., 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. , 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 ..., The origin of stock market fractions dates back to the establishment of the American stock market. Learn where stock fractions came from. Advertisement Ever since the New York Stoc..., sin 75 ∘ can be expressed as, sin 75 ∘ = sin (45 ∘ + 30 ∘) We know that sin ⁡ (A + B) = sin ⁡ A cos ⁡ B + cos ⁡ A sin ⁡ B. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 =, cos 45 ∘ = 1 2 and sin 30 ∘ = 1 2. By substituting the ... , Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step, Order of Operations Factors & Primes Fractions Long Arithmetic Decimals ... Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians ... \sin (75)\cos ..., 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., For sin 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 15° value = (√6 - √2)/4 or 0.2588190. . . Since the sine function is a periodic function, we can represent sin 15° as, sin 15 degrees = sin (15° + n × 360°), n ∈ Z. ⇒ sin 15° = sin 375 ... , 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.