Question

Find all the solutions of the equation 2 sin x / 3 + 3 = 0.

Answer 1

Solutions do not exist.

Explanation:

`2sin(x)/(3)+3=0\\sin(x)/(3)=-(3)/(2)`

Range of sin function is [-1,1].

It can only take values varying from -1 to +1 (including both).

Hence
`sin(x)/(3)` cannot be -3/2.

Therefore the above equation has no solution.