Identities of Squared Trigonometric Functions

Practice Questions

Trigonometry › Identities of Squared Trigonometric Functions

Questions

7

1

Using trigonometric identities prove whether the following is valid:

$\sin^{2}A + \cot^{2}A = \frac{2\sin^{4}A +2\cos^{2}A}{1 - \cos 2A}$

2

Use the power reducing formulas for trigonometric functions to reduce and simplify the following equation:

$\sin^{2}A \cos^{2} A$

3

Using trigonometric identities, determine whether the following is valid:

$\sin^{2} A \cos^{2} A = \frac{1-\cos^{4}A-2\cos^{2}A\sin^{2}A + \sin^{4}A}{4}$

4

Simplify the expression:

$\csc\theta(\sin\theta+\cos\theta \cot\theta)$

5

Simplify using identities:

$\frac{-\cos x+\sec x}{\tan x}$

6

Determine the value of: $(1+cot^2(\theta))(1-cos^2(\theta))$

7

Which of the following is equivalent to: $\frac{1}{1 + cos \ x}{}$ ?

Return to subject