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

Textbook Question

Chapter 5, 5.3 - Problem 18 - Precalculus (3rd Edition, Ron Larson).
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gsarora17 | (Level 2) Associate Educator

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`sin^2(x)=3cos^2(x)`

`(sin^2(x))/(cos^2(x))=3`

`tan^2(x)=3`

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

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

`x=pi/3+pin`

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

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

So the solutions are,

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

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