Question

Question #4f033

Answer 1

`(5pi)/12, (7pi)/12`

Explanation:

`sin 2t = - 1/2`
Trig table gives:
a. `sin 2t = - 1/2` --> `2t = - pi/6` , or `2t = (5pi)/6` (co-terminal)
`x = (5pi)/12`
b. Trig unit circle gives another arc 2x that has the same sin value:
`2x = pi - (-pi/6) = pi + pi/6 = (7pi)/6`
`x = (7pi)/12`