Prove the identity using the following rules, Algebra, reciprocal, quotient, Pythagorean, and odd/even?

csc(x)sec(x)+cos(x)sin(x)=2cotx

1 Answer
Apr 21, 2018

check the explanation below

Explanation:

csc(x)sec(x)=1sin(x)1cos(x)=cos(x)sin(x) reciprocal

now substitute

cos(x)sin(x)+cos(x)sin(x)=2cos(x)sin(x)

sinx is odd so sin(x)=sinx

cosx is even so cos(x)=cosx

Substitute

=2cosxsinxevenandodd functions

=2cot(x)quoitent

I hope this was helpful.