Question

I urgently need help. "Simplify the expression using trig identities. Show your steps clearly, giving a reason for each step"

Answer 1

sin²x / tan²x

But tanx = sinx / cosx

sin²x / tan²x = (sinx / tanx)²

sinx / tanx =   sinx / (sinx/cosx) 

                 =   sinx * cosx / sinx

                 =  cosx

Therefore:   sin²x / tan²x = (sinx / tanx)² =   (cosx)²

                                                                = cos²x

Hope this helps.