Question

Establish the identity:

1. sin0(cot0 + tan0) = sec0

2. cos0 +1/cos0 -1 = 1 + sec0/1 - sec0

Answer 1

1. sin x (cot x + tan x) =
sin x (cos x/sin x + sin x/cos x) =
cos x + (sin^2/cos x) =
[cos^2 x + sin^2 x]/cos x =
1/cos x
= sec x

You try the other one