Question

Question #1bc76

Answer 1

`t = pi/4`
`t = (3pi)/4`

Explanation:

`tan^2 t = 1`
`tan t = +- 1`
There are 2 solutions for t.
Use trig table of special arcs and unit circle.
a. tan t = 1 --> t = pi/4, and t = pi/4 + pi = (5pi)/4.
Since the interval is limited to (0, pi), there fore the second value ((5pi)/4) is rejected.
b. tan t = - 1 --> t = - pi/4 (Rejected) and t = pi - pi/4 = (3pi)/4
Answers for `(0, pi)`:
`pi/4 and (3pi)/4`