Question

If $\sin \theta =\frac{\sqrt{2}}{3},\cos \theta =\frac{1}{3}$, then $\tan \theta =\sqrt{m}.$ The value of $m$ is

Answer 1

$\tan \theta =\frac{\sin \theta }{\cos \theta }=\frac{\frac{\sqrt{2}}{3}}{\frac{1}{3}}=\sqrt{2}$

\sin ce, $\tan \theta =\sqrt{m}=\sqrt{2}\Rightarrow m=2$

Therefore, Answer is $2$