Question

Write the trigonometric expression in terms of sine and cosine, and then simplify.

cos^2(theta)(1+tan^2(theta))

Answer 1

I used x instead of thetha ... easier to type... everywhere you see an x replace it with a theta ... If you don't understand a step, let me know.

cos^2x(1 + tan^2x)
cos^2x(1 + sin^2x
-----
cos^2x)

cos^2x( cos^2x + sin^2x
----- -----
cos^2x cos^2x

cos^2x ( cos^2x + sin^2x)
--------------
cos^2x

the cos^2x's cancel
and cos^2x + sin^2x = 1

so the answer is 1

Answer 2

thanks :)

Answer 3

steps very clear