Question

find the value of x

2sin3x = root 3

please give the answer today itself!!!!!its urgent

Answer 1

$2 \sin(3x) = \sqrt{3} \\ \\ \\ \sin(3x) = \frac{ \sqrt{3}}{2} \\ \\ \\ \\ \sin(3x) = \sin(60) \\ \\ \\ \boxed{ \sf{equating}} \\ \\ \\ 3x = 60 \\ \\ \\x = \frac{60}{3} \\ \\ \\x = 20$

Hence

$\boxed{ \boxed{ \boxed{ \rm{x = 20}}}}$

KEY POINTS TO REMEMBER

☸️ sin 0 =0

☸️ sin 30 = 1/2

☸️ sin 45 = 1/root2

☸️ sin 60 = root3/2

☸️ sin 90 = 1