SOLUTION: Find the Exact solutions of tan^2x+tanx = 2 in the interval [0,2pi). I tried replacing tan^2x with 1-cos2x/1+cos2x based on the half angle identity but im not sure if this is ho

Algebra ->  Trigonometry-basics -> SOLUTION: Find the Exact solutions of tan^2x+tanx = 2 in the interval [0,2pi). I tried replacing tan^2x with 1-cos2x/1+cos2x based on the half angle identity but im not sure if this is ho      Log On


   



Question 763437: Find the Exact solutions of tan^2x+tanx = 2 in the interval [0,2pi).
I tried replacing tan^2x with 1-cos2x/1+cos2x based on the half angle identity but im not sure if this is how you are supposed to do it.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the Exact solutions of tan^2x+tanx = 2 in the interval [0,2pi).
-----------
tan%5E2%28x%29+%2B+tan%28x%29+-+2+=+0
(tan + 2)*(tan - 1) = 0
----
tan(x) = -2
---
tan(x) = 1