Trigonometry Examples

Verify the Identity (cos(x))(tan(x))(csc(x))=1
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
Cancel the common factor of .
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Step 3.1.1
Cancel the common factor.
Step 3.1.2
Rewrite the expression.
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Cancel the common factor.
Step 3.2.2
Rewrite the expression.
Step 4
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity