Trigonometry Examples

Verify the Identity (tan(x))/(sec(x))=sin(x)
Step 1
Start on the left side.
Step 2
Convert to sines and cosines.
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Step 2.1
Write in sines and cosines using the quotient identity.
Step 2.2
Apply the reciprocal identity to .
Step 3
Simplify.
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Step 3.1
Multiply the numerator by the reciprocal of the denominator.
Step 3.2
Cancel the common factor of .
Step 4
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity