# Verify the Identity cot(theta)+tan(theta)=(csc(theta))/(cos(theta))

Verify the Identity cot(theta)+tan(theta)=(csc(theta))/(cos(theta))
Start on the left side.
Convert to sines and cosines.
Write in sines and cosines using the quotient identity.
Write in sines and cosines using the quotient identity.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify each term.
Apply Pythagorean identity.
Rearrange terms.
Apply pythagorean identity.
Rewrite as .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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