Question

Prove: tan^2 θ•cos^2 θ + cos^2 θ = 1. You must show all work.

Answer 1

\[\sin ^2/\cos ^2*\cos ^2+\cos ^2 = 1\]

Answer 2

tan^2 theta can be written as sin^2 theta / cos^2 theta

so, sin^2 theta / cos^2 theta * cos^2 theta + cos^2theta
sin^2 theta + cos^2 theta
=1

Answer 3

\[\sin ^2+\cos ^2 = 1 \]

Answer 4

So you just cancel out the cos^2?

Answer 5

\[1 = 1\]
since we know that
sin^2 +cos ^2 = 1