Question

How do you solve `tan4x=-1` and find all exact general solutions?

Answer 1

`(3pi)/16 + (kpi)/4`

Explanation:

tan 4x = - 1
Trig table of special arcs, and unit circle -->
tan 4x = -1 --> `4x = (3pi)/4 + kpi`
General answers:
`x = (3pi)/16 + (kpi)/4`