Verify the Identity (sin(A))/(1-cos(A))-cot(A)=csc(A)

Math
Start on the left side.
Multiply by .
Combine.
Simplify numerator.
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Apply the distributive property.
Multiply by .
Simplify denominator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Apply pythagorean identity.
Write in sines and cosines using the quotient identity.
Simplify.
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Simplify each term.
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Factor out of .
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Multiply by .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine the numerators over the common denominator.
Simplify the numerator.
Rewrite as .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity (sin(A))/(1-cos(A))-cot(A)=csc(A)

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