Question

If cos theta=root 3/2,then not a possible value of sin 2 theta​

Answer 1

Answer:

$cos \theta \: = \frac{ \sqrt{3} }{2} \\ cos \theta \: =cos 30 \degree \\ \theta \: = 30 \degree \\ now \: \\ sin \: 2 \theta \: = 2 \: sin \theta \: cos \theta \\ = 2 \: sin \: 30 \degree \: cos \: 30 \degree \\ = 2 \times \frac{1}{2} \times \frac{ \sqrt{3} }{2} \\ = \frac{ \sqrt{3} }{2} \\ thus \: sin \: 2 \theta \: = \frac{ \sqrt{3} }{2} \:$