Question

Hello I am having trouble with proving this:

sinA/secA+secA/cscA = tan(A)(2-sin^2(A))

So far I've gotten

SinA/(1/cosA) + (1/cosA)/(1/sinA)

SinACosA + sinA/cosA

I am stuck here, not even sure if multiplying by the reciprocal was the right step..

Answer 1

on right
tan(A)(2-sin^2(A))
(sinA/cosA) (1 + cos^2A) because s^2+c^2 = 1
sinA / cosA + sinAcosA
looks like what you had on the left :)