Find the General Solution of the Following Equation: Tan 3 X = Cot X - Mathematics

प्रश्न

Find the general solution of the following equation:

\[\tan 3x = \cot x\]

योग

उत्तर

We have:

\[\tan3x = \cot x\]

\[\Rightarrow \tan3x = \tan \left( \frac{\pi}{2} - x \right)\]

\[ \Rightarrow 3x = n\pi + \left( \frac{\pi}{2} - x \right), n \in Z\]

\[ \Rightarrow 4x = n\pi + \frac{\pi}{2}, n \in Z\]

\[ \Rightarrow x = \frac{n\pi}{4} + \frac{\pi}{8}, n \in Z\]

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Trigonometric Equations

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Q 2.06 Q 2.05 Q 2.07

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 2.06 | पृष्ठ २१

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Trigonometric Equations

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