Question

How do you solve `Sin(x) = -(1/2)`?

Answer 1

`x=(7pi)/6+2pin, x=(11pi)/6+2pin`

Explanation:

Examine the unit circle to see where the sine is `-1/2.`

`x=(7pi)/6, x=(11pi)/6` give the desired value. But sine is periodic, all values of sine repeat every `2pi` units.

To account for that we'll add `2pin` to each answer where `n` is any integer.

`x=(7pi)/6+2pin, x=(11pi)/6+2pin`