﻿ Trigonometric Identities Worksheet | Problems & Solutions

# Trigonometric Identities Worksheet

Trigonometric Identities Worksheet
• Page 1
1.
Find the value of (sin 70°30′ cos 10°30′ - cos 70°30′sin 10°30′).
 a. $\frac{\sqrt{3}}{2}$ b. $\frac{1}{2}$ c. sin 81° d. cos 81°

2.
Find the value of (cos 6θ cos θ - sin 6θ sin θ).
 a. cos 7θ b. sin 5θ c. cos 5θ d. sin 7θ

3.
Evaluate (cos 70° cos 20° - sin 20° sin 70°).
 a. 0.76 b. 1 c. 0.64

4.
Find the maximum and minimum values of (5cos θ + 12sin θ).
 a. - 13, 13 b. 13, - 13 c. 12, - 12 d. - 12, 12

5.
Find the value of (tan 10° · tan 20° + $\sqrt{3}$tan 10° + $\sqrt{3}$tan 20°).
 a. tan 10° b. 1 c. tan 20°

6.
Simplify (cos 32° cos 26° + sin 32° sin 26°).
 a. cos 6° b. sin 6° c. cos 58° d. sin 58°

7.
Simplify sec θ - .
 a. cos θ b. csc θ c. sec θ d. sin θ

8.
Find the value of (sin θ + cos θ cot θ - csc θ).
 a. 1 b. 2 csc θ c. 2 sec θ

9.
Simplify sin B + $\frac{{\mathrm{cos}}^{2}B}{\mathrm{sin}B}$.
 a. cos B b. sec B c. sin B d. csc B