﻿ Trig Functions Worksheet | Problems & Solutions

# Trig Functions Worksheet

Trig Functions Worksheet
• Page 1
1.
Convert the angle 30o 40′ to radian measure.
 a. 30$\pi$ radians b. $\frac{23}{135}$$\pi$ radians c. 31$\pi$ radians d. $\frac{1}{6}$$\pi$ radians

2.
 a. $\frac{4}{3}$$\pi$ radians b. $\frac{3}{2}$$\pi$ radians c. $\frac{3}{4}$$\pi$ radians d. $\frac{2}{3}$$\pi$ radians

3.
The angle of elevation of the top of a hill from the foot of a tower is 62° and the angle of elevation of the top of the tower from the foot of the hill is 28°. If the tower is $h$ = 30 ft high, then find the height of the hill.
 a. 105 ft b. 161 ft. c. 30 ft d. 56 ft

4.
There is a tree on the bank of a canal. The angle of elevation of the top of the tree from a point on the other side of the canal is measured as 70°. The angle of elevation of the top of the tree from $y$ = 17 ft behind this point on the same side of the canal is measured as 40°. What is the width of the canal?
 a. 32.5 ft b. 7.5 ft c. 24.5 ft d. 17 ft

5.
A flag pole which is 7 m long is placed on a building whose height is $h$. The angle of elevation of the top of the building from a point on the ground is 18°20' and the angle of elevation to the top of the flag pole is 26°30'. What is the height of the building?
 a. 14 m b. 90 m c. 16 m d. 23 m

6.
Find the value of tan 420°.
 a. 1 b. $\sqrt{3}$ c. not defined d. - $\sqrt{3}$

7.
Find the value of cos 270°.
 a. $\frac{1}{2}$ b. 1 c. - 1

8.
Find the value of sec (- 30°).
 a. - $\frac{2\sqrt{3}}{3}$ b. 2 c. $\frac{2\sqrt{3}}{3}$ d. - 2

9.
Choose a positive angle and a negative angle that are coterminal with the angle 300° .
 a. 60°, - 660° b. 660°, - 60° c. 60°, - 60° d. 360°, - 60°