Which of the following is an equivalent expression for tan to the power of minus 1 end exponent x plus tan to the power of minus 1 end exponent left parenthesis minus x right parenthesis

tan^-1x+tan^-1(-x)

a. -1

b. rad

c. 0

d. rad/2

e. 1

c)

Step-by-step explanation:

To solve this, remember some properties of trigonometric functions.

Let . Then, by definition of inverse function, . Multiply by -1 to both sides of this equation to get .

Note that   because sine is an odd function and cosine is an even function. Then . Take the inverse tangent in both sides to get  .

Using the previous equations, we obtain:

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