# Verify the Identity 1/(1-sin(x))+1/(1+sin(x))=2sec(x)^2

Verify the Identity 1/(1-sin(x))+1/(1+sin(x))=2sec(x)^2
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 .
Subtract from .
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.
Now consider the right side of the equation.
Convert to sines and cosines.
Apply the reciprocal identity to .
Apply the product rule to .
Simplify.
One to any power is one.
Combine and .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Do you know how to Verify the Identity 1/(1-sin(x))+1/(1+sin(x))=2sec(x)^2? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.