OpenStudy (anonymous):

Verify the Identity. cot^2 x/csc x+1=1-sin x/sin x

OpenStudy (mertsj):

Replace cot^2 with 1- csc^2. Then factor the numerator and reduce the fraction.

OpenStudy (anonymous):

but how is that possible?

OpenStudy (mertsj):

One of the Pythagorean identities is that 1+cot^2x= csc^2x

OpenStudy (anonymous):

the identity is \[1+\cot ^{2} =\csc^2 \]

OpenStudy (mertsj):

Which is exactly what I just stated.

OpenStudy (anonymous):

but its only possible if -cot^2=1-csc^2

OpenStudy (anonymous):

@Mertsj

OpenStudy (mertsj):

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OpenStudy (anonymous):

nevermind i got it

OpenStudy (mertsj):

whatever