Question

Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

Answer 1

Explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved