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

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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Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
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One to any power is one.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity cos(x)^2(1+tan(x)^2)=1

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