# Verify the Identity tan(theta)^2cos(theta)^2=1/(csc(theta)^2)

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