Question

If 1+sin2 theta=3sin theta cos theta then prove that tan theta=1 or 1/2

Answer 1

Step-by-step explanation:

$1 + \sin( 2\alpha ) = 3 \sin( \alpha ) \cos( \alpha )$

multiplying by 2 both sides

$2 + 2 \sin( 2\alpha ) = 3(2 \sin( \alpha ) \cos( \alpha ) ) \\ 2 + 2 \sin( 2\alpha ) = 3( \sin(2 \alpha ) ) \\ let \: sin(2 \alpha ) = t \\ 2 + 2t = 3t \\ t = 2 \\ \sin( 2\alpha ) = 2$

hence, question is wrong.

since, sine can't have value greater than 1