There are multiple possible solutions for x, two examples are x = 0° and x = 360°.
How to find the value of x?
We need to solve the equation:
sin(2x) = sin(x)
Then we need to find a value x such that the sine of 2x is equal to the sine of x.
Now, because of the periodicity of the sine equation, there are a lot of possible values of x.
One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:
sin(2*0) = sin(0)
sin(0) = sin(0).
Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:
sin(2*360°) = sin(360°)
sin(720°) = sin(360°) = 0
Then x = 360° is another solution.
If you want to learn more about the sine function, you can read:
https://brainly.com/question/9565966
