Answer
$F=w \sin\theta=\tan\theta = \frac{w\pi\theta}{180^{\circ}}$
Work Step by Step
If at the particular angle, the values ($\sin\theta$ and $\tan\theta$ and $\frac{\pi\theta}{180^{\circ}}$) are equal, then if we multiply by the positive value from all three sides, then they will be still equal.