Question

what are the terms of sine and cosine if cos^2 theta(1+tan theta)

Answer 1

\[\cos^2\theta(1+\tan^2 \theta)\]

Answer 2

re-write tan²x as `sin²x/cos²x`

Answer 3

sec^2 (x) = (1+tan^2(x)) = 1/cos^2(x) so they cancel and the answer is 1

Answer 4

and then multiply.

Then apply, sin²x+cos²x=1