Find the exact value of each expression, (a) cos-1(-1) (b) COs-1 1 cos 2 V3 (c) coS 2

Q: Find the exact value of the expression. -1 15 cos tan 8

A: The given expression is costan-1158. It is known that, cosarctanx=1+x21+x2.

Q: Find the exact value of each expression, if it is defined. A. sin-l1 B. cos-1(-1) C. sin-1 2 D.…

A: To find the value of inverse trigonometric functions.

Q: Find the exact value of expression.

A:

Q: If cos cos (3/3 + x) = 1/2, find the correct value of O 퓸 3 π

A:

Q: Find the exact value of the expression cos (2π/3 - π/6).

A: We will use the cos(A-B)=cosAcosB+sinAsinB formula with A=2π/3 and B=π/6

Q: 4 cos 3

A:

Q: In Problem,find the exact value of each expression

A: To find the exact value of the expression:  csccos-1-32 Solution: Principal range of the function…

Q: Find the exact value of the expression cos-1 0

A:

Q: Verify the identity: sin4 t - cos4 t = 1 - 2 cos2 t

A:

Q: Find the value of the sum. cos(285°) cos(165°)

A: The given trigonometric expression is

Q: Find the exact value of the expression whenever it is defined.

A: Given- cos-1cos5π4 To find- The exact value of the above inverse trigonometric expression.

Q: Verify that the equation is an identity. 41) cos 즉 2 = 1 - sin x 2 X sin 2

A: Here we have to verify the equation is an identity.   [cos(x/2) - sin(x/2)]2 = 1 - sin x

Q: Find the exact value of each expression.

A: Part (a): cos-112 On solving the above expression, cos-112=cos-1cosπ3=π3

Q: Prove the identity step by step.  cos4 x-sin4 x=cos2x

A:

Q: 1 + tan -1 sin( cos

A: we know that…

Q: If cos² 9x sin 91 = cos B, then B =

A: Given Problem:- ifcos29x-sin29x=cosBthen find B

Q: Find the exact value of the expression. sinl cos

A: Use inverse trigonometric property

Q: Find the exact value of csc 150°- 3 cos 240°.

A: Using Trigonometric identity

Q: Find the exact value of the expression. tan n sin COS

A:

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

Q: Find the exact solution of the equation. 7 cos-lx - n = 5 cos-1 x OA -1 1. ABCD

A:

Q: Rewrite sin 2 cos as an algebraic expression in v. 4 sin 2 cos 4 믐 =

A: We have to write the trigonometric expression as algebraic form in terms of v.

Q: Find the exact value of the following expression. cos - 1(0) COS

A: Find the exact value of cos-1(0).

Q: Find the exact value of cos-1 (-√3/ 2).

A: Given that, cos-1-32 Consider, θ=cos-1-32 Now take the cosine on both sides.…

Q: Find the exact value of the expression cos (sin CoS

A:

Q: Use an Addition or Subtraction Formula to find the exact value of the ex CoS 12

A: we want to find the value  cos7π12

Q: 15 COS 2 tan-1 8.

A: The given trigonometric function is cos2tan-1158. The following trigonometric identities are used in…

Q: Find the exact value of expression.

A: we have to find the exact value of given expression                cos-122

Q: Use a calculator to solve the equation, correct to four decimal places, on the interval [0, 2π).

A: To Determine: Use a calculator to solve the equation, correct to four decimal places, on the…

Q: Find the value of -1 tan cos -1 + tan V3

A: The given value is,tancos-112+tan-1-13

Q: Find the exact value of cos 2

A:

Q: Use the formulas 1 1 i0 cos 0 = (e" + e-) and sin0 = 2i to obtain the identity 1 (cos 40 – 4 cos 20…

A: See the detailed solution below.

Q: Apply the sum and difference identities to find the exact value of the given expression in terms of…

A:

Q: Determine the exact value of cos(330)° CoS V3 -

A:

Q: Find the Exact Value of the Expression   sec[cos-1 (√3/2)]=

A:

Q: Find the exact value of the expression. 11T cos 12

A: To find : The exact value of the expression cos11π12. Formula used: cosx+y=cosxcosy-sinxsiny…

Q: Write a formula for cos 2x by writing cos 2x as cos (x + x) and using the formula for the cosine of…

A: cos2x

Q: Find the exact value of the expression. sin(cos-11+ tan-1 1) + (V3 +1) x 2/2

A:

Q: Find the equivalent expression. (cosß – 1)(cosß + 1)

A: The given expression is:  cosβ-1cosβ-1 To find its equivalent expression, first, multiply by using…

Q: What is the exact value for cos(cos-1(1))

A:

Q: Find the exact value of the expression sin-1 √2/2

A: Given: sin-122 We have, sin-122 sinπ4=22⇒π4=sin-122