Question

If $\sin \theta =\frac{7}{25}$, find the value of $\cos \theta$ and $\tan \theta$.

Answer 1

$\sin \theta =\frac{7}{25}=\frac{P}{H}$

Now $\cos \theta =\frac{B}{H}=\frac{\sqrt{H^2-P^2}}{H}=\frac{\sqrt{50-49}}{H}=\frac{1}{25}$

$\tan \theta =\frac{\sin \theta }{\cos \theta }$

$\tan \theta =7$.