trig
posted by maria .
Verify that each trigonometric equation is an identity tan^2+1/sec Î± =sec Î±

I will assume you meant
(tan^2 Ø + 1)/sec Ø = sec Ø
by the Pythagorean identity
tan^2Ø + 1 = sec^2 Ø , so ....
LS = sec^2 Ø/secØ
= secØ
= RS