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

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प्रश्न

Find the general solution of the following equation:

\[\tan x = - \frac{1}{\sqrt{3}}\]
योग
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उत्तर

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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अध्याय 11: Trigonometric equations - Exercise 11.1 [पृष्ठ २१]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 11 Trigonometric equations
Exercise 11.1 | Q 1.5 | पृष्ठ २१

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