If 3 sin theta = 2 sin 3 theta and 0

Question

(B) Given $3 \sin 	heta = 2 \sin 3 	heta$. Using the identity $\sin 3 	heta = 3 \sin 	heta - 4 \sin^3 	heta$,we have: $3 \sin 	heta = 2(3 \sin \

Vedclass · Accepted Answer

$\frac{\sqrt{3}}{2 \sqrt{2}}$

Vedclass · Answer

(B) Given $3 \sin 	heta = 2 \sin 3 	heta$. Using the identity $\sin 3 	heta = 3 \sin 	heta - 4 \sin^3 	heta$,we have: $3 \sin 	heta = 2(3 \sin 	heta - 4 \sin^3 	heta)$ $3 \sin 	heta = 6 \sin 	heta - 8 \sin^3 	heta$ $8 \sin^3 	heta - 3 \sin 	heta = 0$ $\sin 	heta (8 \sin^2 	heta - 3) = 0$ This implies $\sin 	heta = 0$ or $\sin^2 	heta = \frac{3}{8}$. Since $0 Therefore,$\sin 	heta = \sqrt{\frac{3}{8}} = \frac{\sqrt{3}}{2 \sqrt{2}}$.

If $3 \sin \theta = 2 \sin 3 \theta$ and $0 < \theta < \pi$,then $\sin \theta =$

Similar Questions

Find $\sin \frac{x}{2}, \cos \frac{x}{2}$ and $\tan \frac{x}{2},$ if $\tan x = -\frac{4}{3}$ and $x$ is in quadrant $II$.

If $\sinh x = \frac{5}{12}$,then $\cosh \frac{x}{2} =$

If $\tan \frac{\theta}{2} = t$,then $\frac{1 - t^2}{1 + t^2}$ is equal to

If $\sin^3 x \sin 3x = \sum_{m=0}^n c_m \cos mx$ where $c_0, c_1, c_2, \dots, c_n$ are constants and $c_n \neq 0$,then the value of $n$ is

The value of $4 \cos^3 20^{\circ}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module