Question

If sin 40= root 3/2 then theta __
[0°,15°,30°,60°]​

Answer 1

$\sin(4 \theta ) = \dfrac{ \sqrt{3} }{2}$

$\sin(4 \theta ) = \sin(60 \degree)$

$\implies 4 \theta = 60 \degree$

$\implies \boxed{\theta = 15 \degree}$