Verify the Identity 1-(sin(x)^2)/(1-cos(x))=-cos(x)

Math
Start on the left side.
Apply Pythagorean identity in reverse.
Simplify.
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Simplify each term.
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Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Apply the distributive property.
Multiply by .
Subtract from .
Subtract from .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity 1-(sin(x)^2)/(1-cos(x))=-cos(x)

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