Question

Question #80ec8

Answer 1

`pi/6; (5pi)/6; (13pi)/6; (17pi)/6`

Explanation:

2sin t - 1 = 0 --> 2sin t = 1
`sin t = 1/2`
Trig table gives --> `t = pi/6 + 2kpi`
Unit circle gives another arc t that has the same sin value (1/2) -->
`t = pi - pi/6 = (5pi)/6 + 2kpi`
Answers in interval (0, 3pi), with k = 0, and k = 1
`pi/6; (5pi)/6; pi/6 + 2pi = (13pi)/6; (5pi)/6 + 2pi = (17pi)/6`