how do I find \(tan^2\theta\)

\(sin^2\theta \)\(cos^2\theta \)

Are you dividing these, brkr19 ???

no, I was wondering how to solve each of the three, sorry for the confusing spacing, old laptop has troubles XD.

how would you find

sin^2(x)

because you can't just square the answer, and I forgot the proof

There's nothing to "solve"....we can just express each one in numerous ways......for instance....

tan^2θ = sin^2θ/cos^2θ = sec^θ - 1 = 1 / cot^2θ .....etc.

Similarly

sin^2θ cos^2θ = (1/4) [sin(2θ)]^2 = sin^2θ [ 1 - sin^2θ] = sin^2θ - sin^4θ .....etc.