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Find the General Solution of the Following Equation: Tan X = − 1 √ 3

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Question

Find the general solution of the following equation:

\[\tan x = - \frac{1}{\sqrt{3}}\]
Sum
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Solution

We have:

\[\tan x = - \frac{1}{\sqrt{3}}\]
The value of x satisfying \[\tan x = - \frac{1}{\sqrt{3}}\] is \[- \frac{\pi}{6}\].

∴ \[\tan x = - \frac{1}{\sqrt{3}}\]

⇒ \[\tan x = \tan ( - \frac{\pi}{6})\]

⇒ \[x = n\pi - \frac{\pi}{6}\],

\[n \in Z\]
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Chapter 11: Trigonometric equations - Exercise 11.1 [Page 21]

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RD Sharma Mathematics [English] Class 11
Chapter 11 Trigonometric equations
Exercise 11.1 | Q 1.5 | Page 21

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