SOLUTION: Good morning! Alas... in need of help on a very simple problem. tan^2(3x) = 3 I am unsure of where exactly to start on this problem. Have applied the trig identity for tan^2(x

Question 439483: Good morning!
Alas... in need of help on a very simple problem.
tan^2(3x) = 3
I am unsure of where exactly to start on this problem. Have applied the trig identity for tan^2(x) which is (1-cos2x)/(1+cos2x) but am not sure if that is the correct way to go. Please break down and explain!
Thank you!
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
is a trigonometric equation.Taking the square root of both
sides of the equation, we have two equivalent equations:
,(1) and, , (2).
As you know the function tan(x) is periodic function with period .
Solving each of them we have:=> and
, for equation (1).
=> and
for equation (2)
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