Question

prove the identity: cos+tan^2cos=1/cos

Answer 1

Do you have the original question?

Answer 2

that is the original question. I have to prove that one side is equal to the other.

Answer 3

Start by reducing tan to sin and cos.

Answer 4

LHS: cos+tan^2cos
= cos(1+tan^2)
= cos(sec^2)
= cos(1/cos^2)
= 1/cos : RHS

Answer 5

from cos^2+sin^2 = 1

1+sin^2/cos^2 = 1/cos^2
1+tan^2 = sec^2