Question

Find the general solution of sin 2x=0.​

Answer 1

Answer:

Step-by-step explanation:

We know that sin0°=0;

Given that sin2x=0

Sin 2x= sin 0°

Now......2x=0

X=0

Answer 2

We need to recall the following definition of the general solution.

• A general solution is a value of the unknown angle that satisfies the trigonometric equation.
• $sin0=sin(n\pi )$

This problem is about the general solution.

Given:

$sin2x=0$

$sin2x=sin0$

$sin2x=sin(n\pi )$

Equating the angle, we get

$2x=n\pi$

$x=\frac{n\pi }{2}$ , where $n=0,1,2,3,....$

Thus, the general solution is $x=\frac{n\pi }{2}$ .