# Trigonometry Examples

Step 1

Start on the left side.

Step 2

Step 2.1

Simplify each term.

Step 2.1.1

Rewrite in terms of sines and cosines.

Step 2.1.2

Rewrite in terms of sines and cosines.

Step 2.1.3

Multiply .

Step 2.1.3.1

Combine and .

Step 2.1.3.2

Raise to the power of .

Step 2.1.3.3

Raise to the power of .

Step 2.1.3.4

Use the power rule to combine exponents.

Step 2.1.3.5

Add and .

Step 2.2

Combine the numerators over the common denominator.

Step 2.3

Apply pythagorean identity.

Step 2.4

Cancel the common factor of and .

Step 2.4.1

Factor out of .

Step 2.4.2

Cancel the common factors.

Step 2.4.2.1

Multiply by .

Step 2.4.2.2

Cancel the common factor.

Step 2.4.2.3

Rewrite the expression.

Step 2.4.2.4

Divide by .

Step 3

Because the two sides have been shown to be equivalent, the equation is an identity.

is an identity