# Trigonometry Examples

Find the value using the definition of cosecant.

Substitute the values into the definition.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Multiply by .

Simplify.

Combine.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

The result can be shown in both exact and decimal forms.

Exact Form:

Decimal Form: