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

Math
Start on the left side.
Apply Pythagorean identity.
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Rearrange terms.
Apply pythagorean identity.
Convert to sines and cosines.
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Write in sines and cosines using the quotient identity.
Apply the reciprocal identity to .
Apply the product rule to .
Apply the product rule to .
Simplify.
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Multiply the numerator by the reciprocal of the denominator.
One to any power is one.
Divide by .
Apply the distributive property.
Multiply by .
Cancel the common factor of .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity (1-tan(x)^2)/(1+tan(x)^2)=cos(x)^2-sin(x)^2

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