# Solve sin(x) = tan ( \frac{x}{3})

## Question:

Solve {eq}sin(x) = tan ( \frac{x}{3}) {/eq}

## Solving the Trigonometric Equation:

A trigonometric equation can be solved graphically or with the help of trigonometric ratios and identities.

Since the trigonometric functions are periodic there could be infinite solutions.

## Answer and Explanation:

We have:

{eq}\sin(x) = \tan\left ( \frac{x}{3}\right ) {/eq}

We solve the above trigonometric equation graphically and find the roots as

{eq}x=...

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Solving a Trigonometric Equation Graphically

from Precalculus: High School

Chapter 17 / Lesson 6
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