Question

If $\tan \theta =\frac{\sqrt{7}}{2}$, and $\cos \theta =\frac{2}{\sqrt{11}}$ find $\sin \theta =\frac{\sqrt{7}}{\sqrt{11}}$
if true then enter $1$ and if false then write $0$

Answer 1

Given: $tan\theta =\frac{\sqrt{7}}{2}$ and $Cos\theta =\frac{2}{\sqrt{11}}$
then, $Sin\theta =tan\theta \times Cos\theta =\frac{\sqrt{7}}{2}\times \frac{2}{\sqrt{11}}$
$Sin\theta =\frac{\sqrt{7}}{\sqrt{11}}$