Question

Question #2e7c7

Answer 1

`pi/6; (5pi)/6; (7pi)/6; (11pi)/6`

Explanation:

`4sin^2 x = 1`
`sin^2 x = 1/4`
`sin x = +- 1/2`
a. `sin x = 1/2`
Trig table and unit circle give 2 solutions:
`x = pi/6` , and `x = (5pi)/6`
b. `sin x = - 1/2`
`x = - pi/6`, or `x = 2pi - pi/6 = (11pi)/6` (co-terminal)
and `x = pi - (-pi/6) = (7pi)/6`
Answers for `(0, 2pi)`
`pi/6; (5pi)/6; (7pi)/6; (11pi)/6`
For general answers, add 2kpi to each solution.