If sqrt(3) tan $\theta$ = 3 sin $\theta$ then (sin2$\theta$ – cos2$\theta$) = ?

Question

KollegeApply · Accepted Answer

bb($\frac{1}{3}$) Explanation: sqrt(3) tan $\theta$ = 3 sin $\theta$ $\Rightarrow$ `(sqrt(3) sin $\theta$)/(cos $\theta$) = 3 sin $\theta$ $\Rightarrow$ cos $\theta$ = sqrt(3)/3 = 1/sqrt(3) sin2$\theta$ = (1 – cos2$\theta$) = (1- $\frac{1}{3}$) = $\frac{2}{3}$ $\therefore$ (sin^2$\theta$ - cos^2$\theta$) = ($\frac{2}{3}$ - $\frac{1}{3}$) = $\frac{1}{3}$`

AChoose Your Answer