Verify the Identity sec(x)tan(x)(1-sin(x)^2)=sin(x)

Math
Start on the left side.
Apply pythagorean identity.
Convert to sines and cosines.
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Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Simplify.
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Multiply .
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
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 sec(x)tan(x)(1-sin(x)^2)=sin(x)

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