4. For each equation, either prove that it is an identity or give a counterexample that proves it is not. Describe the process you followed. a. tan(a + b) = tan(a) + tan (b) b. tan(x + 7) = tan(x) c. d. cos(2x) = sin(x) = cos(x) cot(x) csc(x) = = sin(x) cos(x)-sin(x) sin²(x)

Q: Find the exact values of the following: (a) tan−1 (−1) (b) sin (cot−1 (5 2))

A:

Q: Differentiate

A: Given,          ft=tan2tcost

Q: Determine if each equation is an identity by graphing each side v sin² (x)+cos² (x) sin(x) csc (x)…

A: An identity is an equation which is satisfied for all 'x' values in the domain.

Q: verify the identity tan(x/2) + cot(x/2) = 2 csc x

A:

Q: 1. Calculate each value, and draw a version of the Most Important Diagram that demonstrates your…

A: As per the instruction, we are answering only the first 3 subparts. For (a), arccos-12=2π3 Note:

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A:

Q: Find   cos(u/2) if   tan u=3.908

A: We will use various trigonometric identities to solve this

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: 5. Write the trigonometric expression as an algebraic expression. Show all work. sin [sin-(x) +…

A: The given expression,      sinsin-1x+cos-13x

Q: Calculate the following. а. sin-1 cos"" (-) c. tan-(1)

A: