Verify the Identity sec(x)-sin(x)tan(x)=cos(x)

Math
Start on the left side.
Convert to sines and cosines.
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Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Multiply .
Combine the numerators over the common denominator.
Apply pythagorean identity.
Cancel the common factor of and .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity sec(x)-sin(x)tan(x)=cos(x)

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