Question

How would you write this equation in terms of sin and cos as well as simplify it from there?

(1+cotx)(1-cotx)-csc^2 x

Answer 1

Try this option:

`(1+ (cosx)/(sinx))(1- (cosx)/(sinx))- (1)/(sin^2x)= (sin^2x-cos^2x)/(sin^2x)- (1)/(sin^2x)=`

`= (sin^2x-cos^2x-sin^2x-cos^2x)/(sin^2x)=- (2cos^2x)/(sin^2x).`
or -2ctg²x