Question

If $\sin \theta ,1,\cos \theta =0$ are in G.P, then find the general value of $\theta$

Answer 1

As $\sin \theta ,1,\cos \theta$ are in G.P
$\Rightarrow \sin \theta \cos \theta =1\Rightarrow \sin 2\theta =2$
But as $1\le \sin A\le 1$
Hence no solution