Write each expression as a single trigonometric function.   cos 15 degree cos 75 degree - sin 15 degree sin 75 degree

Q: write each trigonometric expression as an algebraic expression in u. sin(cos-1u)

A: Solution: Consider the given trigonometric expression is: sincos-1u Let  θ = cos-1u⇒cos θ = u Now,…

Q: 1+tantan 30) 1+cotcot x

A: Given: y=1+tantanx1+cotcotx We know that cotθ=1tanθ…

Q: Use the right triangle to find each of the six trigonometric functions of θ.

A: By using Pythagorean theorem in triangle ABC, we have

Q: Simplify each trigonometric expression by following the indicated direction.

A: Given

Q: Give the exact value of each trigonometric function. 11. cos (-) 13 12. sec(-) |

A: Given the trigonometric function

Q: Match each trigonometric function with the quadrant where it is positive. sine a. Quadrant II Cosine…

A:

Q: Write each expression as a single trigonometric function.   cos 7x cos 4x + sin 7x sin 4x

A:

Q: s(2 tan-¹³) 100. cos 2 tan

A: Use substitution method

Q: Find the exact value of each of the following. (a) sin(405°) (b) tan(-150°) (c) sec 3 Зл CSC 2 (d)

A: Sin (405°) = 0.707106781 tan(-150°) = 0.577350269

Q: Find the exact values of the six trigonometric functions of each angle, whenever possible.

A: To find the exact values of the six trigonometric functions of each angle. (a) Given angle is 180°.…

Q: 14) sin 0 y 225°

A:

Q: Simplify each expression to a single trigonometric function.   cos 30 degree cos 90 degree - sin 30…

A: Consider the given expression, cos30°cos90°-sin30°sin90° use the trigonometric identity,…

Q: Use the triangle to find each of the six trigonometric functions of 0. B 5 A 8

A: Pythagoras theorem: Hypotenuse2=Perpendicular2+Base2 Trigonometric ratios for a right angle triangle…

Q: Simplify each trigonometric expression by following the indicated direction.

A: To simplify:  Trigonometric expression is sinθ+cosθsinθ+cosθ-1sinθcosθ. Calculation: Solve the…

Q: Find each co-function. a) sin 18 b) tan 31° = c) cos(-종) 3: COS

A:

Q: write each trigonometric expression as an algebraic expression in u. cos(tan-1u)

A: We have to express the following trigonometric expression in an algebraic form: costan-1u Let us…

Q: Write each expression as a single trigonometric function.    cos 4x cos 5x+  sin 4x sin 5x

A: cos4xcos5x+sin4xsin5x

Q: write each trigonometric expression as an algebraic expression in u. sin(cot-1u)

A: The given expression is sincot-1 u.

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0)…

A:

Q: write each trigonometric expression as an algebraic expression in u. cos(csc-1u)

A: Given:  Let y=coscsc-1 u To Find: To write the given trigonometric expression as an algebraic…

Q: Write each expression as a single trigonometric function.    sin 3x cos 2x + cos 3x sin 2x

A: It is known that sina cosb+ cosa sinb=sina+b.

Q: Find the exact value of each trigonometric function  16. Sin -225 degrees  18. Sec -360 degrees…

A: Given: To find- Sin -225 degrees  Sec -360 degrees  Cos 300 degrees

Q: Write each expression as a single trigonometric function.   cos 5x cos x - sin 5x sin x

A: cos Acos B-sin A sin B=cos(A+B)

Q: use an identity to write each expression as a single trigonometric function value or as a single…

A:

Q: 1 1 9) cos² 0 cot2 0

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other questions…

Q: Verify that each trigonometric equation is an identity.

A: Given

Q: Match each trigonometric function with its reciprocal. a. sine i. cotangent b. cosine ii. cosecant…

A: Given that : Trigonometric function         Reciprocal  a . sine…

Q: Write the expression in terms of sin and cosine and then simplify to an expression involving a…

A: Given:

Q: Evaluate each expression without using a calculator, and write your answers in radians.       cos -1…

A: The given expression is cos-1(-1). Consider cos-1(-1)=y Now take cos both sides. coscos-1(-1)=cosy…

Q: Find the Value of each COS 28T

A:

Q: Give the exact value of each trigonometric function. 2 10. cos 3 9. sin 45 11. cos T

A:

Q: Find the exact value of each of the following. (a) sin(390°) (b) tan(-150°) (c) 47 sec (d) 97T CSC

A:

Q: Find the exact value of each trigonometric expression below

A: sin345°   sin345°  =  sin(360-15)°               = -sin15°        (as  sin( 360 + x) = -sinx)…

Q: Write each using only the indicated function a) cos? x – 2 sin x; use sine b) cos(x) – 2 sin² x; use…

A: To write cos2x−2sinx in terms of sine only. To write cosx−2sin2x in terms of cosine only.

Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A:

Q: Find each function value cos 72°

A: Given function: cos 72°   Formula used : Cofunction identity cosx=sin90-x

Q: Simplify each of the following.   sin pi/12 cos pi/12

A:

Q: Give the exact value of each trigonometric function. 11. 12. 7n sin sec

A: To find :  The exact values of the trigonometric functions.

Q: Use the triangle to find each of the six trigonometric functions of θ.

A: By using Pythagorean theorem, we get AB2=AC2+BC2⇒AB2=82+52⇒AB2=89⇒AB=89

Q: Write the expression as a single trigonometric function. (no calculator) cos 6xcos 4x+ sin 6xsin 4x

A:

Q: Write each expression as a single trigonometric function.   sin 8x cos 7x - cos 8x sin 7x

A: According to the trigonometric formula: sin (A-B)=sin A cos B-cos Asin B

Q: Write each trigonometric expression as an algebraic expression. 17) sin tan-' x 18) csc cot-' x 19)…

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

Q: Write each function value in terms of the cofunction of a complementary angle. Cos (π/12)

A:

Q: Write each trigonometric expression as an algebraic expression. 19) sec cot-x -1 20) sec cos

A: Given:               sec cot-1x=?   Writing the trigonometric expression as an algebraic…

Q: Write each expression as an algebraic (nontrigonometric) expression in u, u > 0. sin 2 sec

A: Given sin2 sec-1u6WE find algebraic expression in u, u>6

Q: Write each trigonometric expression in terms of a single Trigonometric function. 2 tan 3a 1- tan2 3a

A: Consider  2tan(3x)1-tan2(3x)

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.