Question

If $\Rightarrow$, then the general value of $3\sin(\sin x - 2) - (\sin x - 2) = 0$is.

• A. $\Rightarrow$
• B. $(3\sin x - 1)(\sin x - 2) = 0$
• C. $\Rightarrow$
• D. $\sin x = \frac{1}{3}\$

Answer 1

Answer: (B)

$(3\sin x - 1)(\sin x - 2) = 0$

Answer 2

$- \sin 3x = \sin 5x + \sin x = 2\sin 3x\cos 2x$

⇒ $\Rightarrow$⇒ $\sin 3x = 0$

⇒ $\Rightarrow$

⇒ $x = 0$⇒ $\cos 2x = - \frac{1}{2} = - \cos\left( \frac{\pi}{3} \right) = \cos\left( \pi - \frac{\pi}{3} \right)$.