SOLUTION: Solve the equation on the interval: O < or equal to Theta < 2 pi. Tan(2Theta) = -1

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation on the interval: O < or equal to Theta < 2 pi. Tan(2Theta) = -1      Log On


   

Question 439122: Solve the equation on the interval: O < or equal to Theta < 2 pi.
Tan(2Theta) = -1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation on the interval: O < or equal to Theta < 2 pi.
Tan(2Theta) = -1
---
Take the tan^-1 of both sides to get:
2*theta = tan^1(-1)
----
2theta = (3/4)pi or 2theta = (7/4)pi or 2theta = (11/4)pi or 2theta = (15/4)pi
---
theta = (3/8)pi or (7/8)pi or (11/8)pi or (15/8)pi
=====================================================
Cheers,
Stan H.