Question

How do you solve `sin(x+pi/6) - (x-pi/6) = 1/2` over the interval 0 to 2pi?

Answer 1

16.78 deg and 163.22 deg.

Explanation:

Use sin(A+B) + sin(A`-`B) = 2 sin A Cos B.
The equation reduces to sin x = 1/(2`sqrt`3).