# Verify the Identity 1/(cos(x)+1)+1/(cos(x)-1)=-2csc(x)cot(x) Start on the left side.
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 .
Combine.
Combine.
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify numerator.
Simplify each term.
Multiply by .
Multiply by .
Simplify denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Apply Pythagorean identity.
Reorder and .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Apply pythagorean identity.
Move the negative in front of the fraction.
Now consider the right side of the equation.
Convert to sines and cosines.
Apply the reciprocal identity to .
Write in sines and cosines using the quotient identity.
Simplify.
Combine and .
Move the negative in front of the fraction.
Multiply .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Move to the left of .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity 1/(cos(x)+1)+1/(cos(x)-1)=-2csc(x)cot(x)   ## Download our App from the store

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