Question

solve for x -

2 sin 3x = √3​

Answer 1

Answer:

X= 20 degree

Step-by-step explanation:

$2sinx = \sqrt{3} \\ sin3x = \frac{ \sqrt{3} }{2} \\ 3x = sin ^{ - 1} ( \frac{ \sqrt{3} }{2} ) \\ 3x = 60 \\ x = \frac{60}{2} \\ x = 20 ^{0}$

Answer 2

Answer: ‘20°’

Given:

2.sine3x=√3

To Find:

Value of 'x'

Solution:

As, Given that;

» $2 \sin(3x) = \sqrt{3}$

on dividing both sides by '2' gives:

» $\frac{ 2\sin(3x)}{2} = \frac{ \sqrt[]{3} }{2}$

Or

» $\sin(3x) = \frac{ \sqrt{3} }{2} =sin60°$

[∵ $\sin(60°) = \frac{ \sqrt{3} }{2}$ ]

» sin60°=sin(3x)

Therefore:

» $60° = 3x$

[As, this is only possible when angle measuring '3x' is equal to 60°]

On dividing both LHS and RHS by '3' gives:

» $\frac{3x}{3} = \frac{60°}{3}$

» $x = 20°$

Therefore, the value of 'x'=(20°).