1+sec^2xsin^2x= sec^2x

Question

prove the identity

Answer 1

1+ Sec^2 X. Sin^2 X

= 1 + 1/(cos^2 X). Sin^2 X

= 1 + Sin^2 X/cos^2 X

= 1+ tan^2 X

=Sec^2 X

Answer 2

A few hints: 1 - sec x = 1/(cos x) 2 - (sin x)/(cos x) = tan x That should give you a good start