Question 1092909: Hello, I need help solving this trigonometric equation. I recently posted this, but I forgot to write it as an equation.
The question is: solve the following question for θ. Unless otherwise specified, give all solutions as exact radian measurements such that 0 ≤ θ < 2pi.
1. (3tan 3θ)^2 -27=0
I appreciate any time and effort that you put into solving this. Thank you in advance for your help!
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source):
Answer by ikleyn(52775)  (Show Source):
You can put this solution on YOUR website! .
 - 27 = 0 ====>
= 27 ====>
 = 27 ====> divide by 9 each side ====>
 = 3 ====>
 = +/-  .
1) = ====>  =  or  or  or  or  or  .
It gives 6 different solutions for  in the interval [0, ):
 ,  ,  ,  ,  ,  .
2) = ====> =  or  or  or  or  or  .
It gives 6 different solutions for in the interval [0,):
 ,  ,  ,  ,  ,  .
The final answer is the union of values of from the lists 1) and 2).
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