Question

How do you solve `sin2x=1/2`?

Answer 1

`pi/12 + kpi`
`(5pi)/12 = kpi`

Explanation:

sin 2x = 1/2
Trig table and trig unit circle give 2 solution arcs:

a. `2x = pi/6 + 2kpi` -->
`x = pi/12 + kpi`
b. `2x = pi - pi/6 = (5pi)/6 + 2kpi` -->
`x = (5pi)/12 + kpi`