Secant, Cosecant, and Cotangent Practice Questions

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.

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) = ?

Answers

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.