Question

Question #5206c

Answer 1

`x in {0°, 30°, 150°, 180°}`

Explanation:

For any two real numbers `a` and `b`, `a*b=0` if and only if `a=0` or `b=0`.

Therefore, `sin(x) * (2*sin(x) -1) = 0` implies
`sin(x)=0` or
`2*sin(x) -1 = 0 => sin(x) = 0.5`

So, the solutions to the equation are all the value of `x` such that `sin(x) = 0` or `sin(x) = 0.5`.
This happens for `x in {0°, 30°, 150°, 180°}`//

Hope it helps.