Rewrite in terms of sines and cosines.

Apply the distributive property.

Cancel the common factor.

Rewrite the expression.

Rewrite using the commutative property of multiplication.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Apply pythagorean identity.

Simplify cos(t)(sec(t)-cos(t))