Question

Given $\eta = 6$ and the relation $\eta = \frac{1}{Sin^2\theta}$, find the value of $Sin^2\theta$.

Answer 1

$\frac{1}{6}$

Answer 2

Given $\eta = 6$ and the relation $\eta = \frac{1}{Sin^2\theta}$, substitute $\eta=6$ into the equation to get $6 = \frac{1}{Sin^2\theta}$. Solving for $Sin^2\theta$ yields $Sin^2\theta = \frac{1}{6}$.