# Verify the Identity (csc(x)) divide(sec(x)) plus(cos(x)) divide(sin(x)) equals two cot(x)

Verify the Identity (csc(x))/(sec(x))+(cos(x))/(sin(x))=2cot(x)
Start on the left side.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the reciprocal identity to .
Simplify.
Clarify each term.
First, multiply the numerator by the denominator's reciprocal.
Add and .
Add numerators over the common denominator.
Add and .
Now consider the right side of the equation.
Write in sines and cosines using the quotient identity.
Combine and .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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