`tan^2 (3x) = 3` Solve the equation.

Textbook Question

Chapter 5, 5.3 - Problem 20 - Precalculus (3rd Edition, Ron Larson).
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gsarora17 | (Level 2) Associate Educator

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`tan^2(3x)=3`

`tan(3x)=+-sqrt(3)`

General solutions for tan(3x)=-`sqrt(3)` are

`3x=(2pi)/3+pin`

`x=(3pin+2pi)/9`

General solutions for tan(3x)=`sqrt(3)` are

`3x=pi/3+pin`

`x=(3pin+pi)/9`

Therefore solution are

`x=(3pin+pi)/9 , (3pin+2pi)/9`

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