Question

How do you find the solution to `15tantheta-7=5tantheta-3` if `0<=theta<2pi`?

Answer 1

See below.

Explanation:

`15tantheta-7=5tantheta-3`

`15tantheta-5tantheta-7+3=0`

`10tantheta-4=0`

`tantheta =4/10=2/5`

`arctan(2/5)=>theta=0.3805` ( First quadrant )

`theta=0.3805+pi=3.5221` ( Third quadrant )