Question

Prove: tan2 θ•cos2 θ + cos2 θ = 1.

Answer 1

I would factor \(\cos^2\theta\) out.

Answer 2

And remember, \(\sin^2\theta +\cos^2\theta = 1\), so dividing both sides by \(\cos^2\theta\) will get you \(\underline{\tan^2\theta + 1 = \sec^2\theta}\).

This ought to help you.

Answer 3

is that answer? LOL :)

Answer 4

\(\tan^2\theta\cos^2\theta + \cos^2\theta = \cos^2\theta (\tan^2\theta + 1) = \cdots ~?\)

Answer 5

is it 1