If $sin x=frac{1}{3}$, then the value of $sin 3 x$ will be

Here,

$sin x=frac{1}{3}$

We know that,

sin3x = 3sinx – 4sin³x

On putting the value of sinx, we get

$sin 3 x=3 cdotleft(frac{1}{3} ight)-4 cdotleft(frac{1}{3} ight)^{3}$

$=1-frac{4}{27}=frac{27-4}{27}$

$sin 3 x=frac{23}{27}$