Start on the left side.

Apply the distributive property.

Simplify each term.

Apply the distributive property.

Multiply .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

Add and .

Add and .

Apply pythagorean identity.

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

is an identity

Verify the Identity (csc(x)-1)(csc(x)+1)=cot(x)^2