Question

How do you solve `4tanx-7=3tanx-6` for `0<=x<=2pi`?

Answer 1

`pi/4, (5pi)/4`

Explanation:

4tan x - 7 = 3tan x - 6.
4tan x - 3tan x = - 6 + 7
tan x = 1
Use trig table and unit circle
tan x = 1 --> 2 solution arcs -->
arc `x = pi/4` and arc `x = pi/4 + pi = (5pi)/4`.
Answers for `(0, 2pi)`
`pi/4 and (5pi)/4`