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# Secant, Cosecant, and Cotangent Practice Questions

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Read the following study guide for a concept review:

Secant, Cosecant, and Cotangent Study Guide

## Practice Questions

Evaluate the following trigonometric functions for the angles w, x, y, and z in Figure 8.3.

 1 sec(x) 2 csc(x) 3 cot(x) 4 cot(y) 5 sec(y) 6 csc(y) 7 cot(z) 8 tan(w) 9 sec(z) 10 csc(w)

Represent each of the following in terms of sin(x) and cos(x). You may assume that each angle x is measured in degrees.

 11 sec(x) · tan(x) 12 cot(x) · sin(x) 13 cos2(x) · tan(x) 14 15 16 sec(90° – x) 17 cos(90° – x) · sec(x) 18 19 cot(x) · csc(90° – x) · sin(x) 20 sin(90° – x) · cot(90° – x)
 21 If sec(x) then what is sin(x)? 22 What is csc(x) if cot(x) = 4? 23 Find sec(x) for the angle x with sin(x) =. 24 If cos(x) = then what is cot(x)? 25 What is the sine of the angle with a cosecant of ? 26 If tan(x) = what is sec(x)? 27 What is the cotangent of angle x if sec(x) = ?

 1 2 3 4 5 6 7 cot(z) = √3 8 tan(w) = √3 9 10 11 12 cos(x) 13 cos(x) · sin(x) 14 15 16 17 18 19 1 20 sin(x) 21 22 csc(x) = √17 23 24 25 The sine is . 26 27

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