# Simplify (cos(x))/(1-sin(x))+(1-sin(x))/(cos(x))

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Combine.

Combine.

Reorder the factors of .

Combine the numerators over the common denominator.

Multiply .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Multiply by .

Multiply by .

Multiply .

Multiply by .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Subtract from .

Rewrite in a factored form.

Regroup terms.

Apply pythagorean identity.

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Separate fractions.

Convert from to .

Divide by .

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