Question

Cot^2(alpha)csc(alpha)+2cot(alpha)csc(alpha)-3csc(alpha)

Answer 1

Explanation:

cot²α csc α+2 cot α csc α-3 csc α

=csc α (cot²α+2cot α-3)

=csc α (cot² α+3cot α- cot α-3)

=csc α[cot α(cot α+3)-1(cot α+3)]

=csc α (cot α+3)(cot α-1)