If $\cos \theta = y$, express $\sin^2 \theta$ in terms of $y$.

Question

Accepted Answer

1 − y². Using the identity $\sin^2\theta + \cos^2\theta = 1$ and substituting $\cos\theta = y$, we get $\sin^2\theta = 1 - y^2$.

If \(\cos \theta = y\), express \(\sin^2 \theta\) in terms of \(y\).