18) Use sum and difference formulas to find the exact value of the expression. cos 75°

Q: If the terminal side of angle 0 goes through the point VTO 3VT0 10 on the unit circle, then what is…

A: We have to find the length of hypotenuse at first.Then to find the value of cos (theta)

Q: 20 cos( – 240°) - find the exact value of the expression: 30 cot( – 240°) -

A: Solving the problem by the method of trigonometric formula.

Q: Use the Half-angle Formulas to find the exact value of the expression cos 112.5°. cos 112.5° = %3D

A: value =?

Q: 2. Given tane = -√√3, 90° ≤ ≤ 180°, the exact value of sine can be written in the form √a b value of…

A:

Q: An angle of measure π/6 intersects the unit circle at point (√ 3/2, 1/2). What is the exact value of…

A: Given ,  An angle of measure π/6 intersects the unit circle at point (√3/2 , 1/2) We have to find…

Q: Use right triangles to find the exact value of the following. cos (sin-1 12/13 + cos-1 8/17)

A: Given,            cos sin-11213 + cos-1817

Q: Find the exact value of each expression.

A: Given, cos40°cos10°+sin40°sin10° To find the exact value of above expression.

Q: Suppose that sin α = 3/5 and cos β = - 12/13 for quadrant II, angles α and β. Find the exact value…

A: In the 2nd quadrant only sine and cosecant is positive and all other trigonometric functions are…

Q: Find the exact value of cos(83°) cos(23°) + sin(83°) sin(23°)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the Difference Formula for Cosines to Find the Exact Value of cos 80° cos 20° + sin 80° sin 20°.

A: We have to find the value of cos80°cos20°+sin80°sin20° using the difference formula for Cosines. We…

Q: Use the given information to find the exact value of the expression. cos θ = 15/17, θ lies in…

A: Answer(a)

Q: In a right triangle, cos (6x)° = sin (10x + 2)°. Find the smaller of the triangle's two acute…

A: We know, sinθ=cos(900-θ)

Q: If the cosine ratio is given, then how can cosθ2cos⁡θ2 be determined?

A: This question is based on Trignometric ratios.

Q: Suppose cos 2 A , and 2A is an angle in the Second Quadrant. Then cos A Give the EXACT value.

A:

Q: 3, Angle 0 is obtuse. cos 20 - Determine the exact value of cos CoS %3D

A:

Q: Use a 7.3 double angle formula to find sin2θ when cotθ= 4/3 and π<θ<3π/2.

A:

Q: Use an Addition or Subtraction Formula to simplify the equation. 1 sin(20) cos(0) – cos(20) sin(0) 2

A:

Q: If 5 sin A = 3, then without using calculator, Find the value of Sin 2A , Cos 2A. %3D

A:

Q: If Sin θ 0, then θ lies in which quadrant?

A: Given that, Sin θ < 0 and Cos θ > 0   Since, Sin θ is negative in quadrant III and quadrant IV…

Q: 3 If cos 0 = and angle 0 is in Quadrant I, what is the exact value of tan 20 in simplest radical…

A:

Q: If csc(alpha)=3, where 0<alpha<pi/2, and beta is a Quadrant II angle with tan(beta)=-7, find…

A: Given,  cosec(alpha) = 3  ,   0&lt;alpha&lt;π/2 tan(beta) = -7   ,   π/2&lt;alpha&lt;π cos(alpha +…

Q: 15 If the terminal side of angle 0 goes through the point (, -) on the unit circle, then what is…

A: The terminal side of an anglegoes through the pointon the unit circle. Now if (x, y) is any point on…

Q: If sin 0 = and 0 <os (a) determine the EXACT value of cos 20 (b) determine the EXACT value of sin().

A:

Q: If 75° 150 then use the half-angle formulas to determine the exact value of sin(75°) cos(75°)

A:

Q: Find the exact values of the six trigonometric ratios of the angle θ in the triangle.   sin(θ) =…

A:

Q: If sin(θ)= √65/9 and θ is in the 2nd quadrant, find the exact value of cos(θ)

A:

Q: 11n 4. Use a compound angle identity to rewrite sin + cos( sin as one single cos 12 trigonometric…

A:

Q: if cos beta = 2/5 and beat is the 4th quadrant, find sin beta

A: Given,

Q: Find exact values for cach expression using sum and difference, double and half angle, or sum to…

A:

Q: Suppose that sin α = 4/5 for a quadrant II angle α and sin β = 1/2 for a quadrant I angle β. Find…

A: Given that,  sinβ=12 Since in quadrant I, sine and cosine are positive. And,…

Q: 19) Use the Half-angle Formulas to find the exact value of each expressior tan 22.5°

A:

Q: Using the exact values of the sine and cosine of both 2π/3 and π/4 and an angle sum identity, show…

A:

Q: 11. The expression sin+ (cot)(cos) is equivalent to A. 1 B. csc C. sece D. cot20

A: Here, the given expression is: sin θ+(cot θ)(cos θ)

Q: An angle of measure 150∘∘ intersects the unit circle at point (−3√2,12)(−32,12). What is the exact…

A: Trigonometry:  Trigonometry is the branch of mathematics that deals with the relation between the…

Q: In a right triangle, cos (9x)° = sin (7x – 6)°. Find the larger of the triangle's two acute angles.…

A: In a right angle triangle cos(9x)° = sin(7x-6)°.  Find the larger of the triangle's two acute angles…

Q: The value of Sin 4400 is equal to

A: Given,             sin(440°)

Q: If 180 is less than or equal to theta and greater than or equal to 270 degrees and cos (theta)=-2/9…

A: Here given as

Q: Show complete solution Given sin B = 5/13 in QII, find the exact value of the following: a. sin…

A:

Q: Use the half angle formula to find exact value' of cos 67.5" -Show work please. No answers only.

A:

Q: 9. If sec0 = 13 and 0 is in the second quadrant, find cos 0, sin 0, and tan 0.

A: 9. sec θ=-135 and θ in the second quadrant.We have to find the values of cosθ, sinθ, tanθ.

Q: Give the exact value. sin 4? 3

A:

Q: Find the exact value of the expression. cos(160°) cos(25°) + sin(160°) sin(25°)

A:

Q: 11) sin-! 2

A:

Q: 1. Find the value of the two missing sides. Then find sin 37°, cos 53°, tan 53°.

A:

Q: 30° If 15° = then use the half-angle formulas to determine the exact value of sin(15°) cos (15°)

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.