Question

How do you find the values of `theta` given `sintheta=1/2`?

Answer 1

`theta=pi/6 " or "theta=30^o`

Explanation:

`"if " sin theta=1/2`

`"then " arc sin(1/2)=theta`

`theta=pi/6 " or "theta=30^o`

Answer 2

`pi/6 + 2kpi`
`(5pi)/6 + 2kpi`

Explanation:

`sin t = 1/2`
Trig table of special arcs gives:
`t = pi/6 + 2kpi`
Trig unit circle gives another t that has the same sin value -->
`t = pi - pi/6 = (5pi)/6 + 2kpi`