# Verify the Identity (cot(x)^2)/(csc(x))=(1-sin(x)^2)/(sin(x))

Verify the Identity (cot(x)^2)/(csc(x))=(1-sin(x)^2)/(sin(x))
Start on the right side.
Apply pythagorean identity.
Now consider the left side of the equation.
Convert to sines and cosines.
Write in sines and cosines using the quotient identity.
Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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