Question

Solve each equation for all nonnegative values of theta less than 360 degrees: 3sin(theta/2)=2sin^2(theta/2)?

Answers: 60, 180, 300 degrees

Answer 1

Wrong equation

Explanation:

`3sin (t/2) = 2sin^2 (t/2)`
`2sin^2 (t.2) - 3sin (t/2) = 0`
`sin (t/2)(2sin (t/2) - 3) = 0`
a. `sin (t/2) = 0` --> `t/2 = 0, t/2 = pi, and t/2 = 2pi`
General answers --> `t = 2kpi`
b. `2sin (t/2) = 3`
`sin (t/2) = 3/2` (rejected as > 1)

Note. The equation might have been misread. Check by calculator, these answers (60, 180, 300) are all wrong.