Question

Which trigonometric functions are equivalent to sec θ? Select all that apply.A. sec (- θ)B. - sec θC. - sec (- θ)D. sec (θ + /2)E. sec (θ + 2π)

Answer 1

Explanation

We are given the following:

"sec Θ"

We are required to determine the trigonometric functions which are equivalent to the function given.

For Option A:

$sec(-\theta)=sec\text{ }\theta$

For Option B:

$-sec\text{ }\theta$

For Option C:

$-sec(-\theta)=-sec\text{ }\theta$

For Option D:

$sec(\theta+\frac{\pi}{2})=-cosec\text{ }\theta$

For Option E:

$sec(\theta+2\pi)=sec\text{ }\theta$

Hence, the correct options are A and E.