Question

sin 3x/2 = 0 Find General Solution

Answer 1

Answer:

x=0

Step-by-step explanation:

3x/2=0

3x=0

x=0/3

x=0

Answer 2

The general solution is $x=\frac{2k\pi}{3},\ k\in\mathbb{Z}$.  

Step-by-step explanation:

Given : Equation $\sin \frac{3x}{2}=0$.

To find : The general solution of the equation ?

Solution :

When $\sin\theta=0$ then the general solution is given by,

$\sin \frac{3x}{2}=\sin k\pi ,\ k\in\mathbb{Z}$

$\frac{3x}{2}=k\pi$

$3x=2k\pi$

$x=\frac{2k\pi}{3}$

Therefore, the general solution is $x=\frac{2k\pi}{3},\ k\in\mathbb{Z}$.  

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