Find the General Solution of the Following Equation: Tan M X + Cot N X = 0 - Mathematics

प्रश्न

Find the general solution of the following equation:

\tan m x + \cot n x = 0

योग

उत्तर

We have:

\tan m x + \cot n x = 0

$\Rightarrow \tan m x = - \cot n x$

$\Rightarrow \tan m x = \tan (\frac{π}{2} + n x)$

$\Rightarrow m x = r π + (\frac{π}{2} + n x), r \in Z$

$\Rightarrow (m - n) x = r π + \frac{π}{2}, r \in Z$

$\Rightarrow x = (\frac{2 r + 1}{m - n}) \frac{π}{2}, r \in Z$

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Trigonometric Equations

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Q 2.08 Q 2.07 Q 2.09

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

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अध्याय 11 Trigonometric equations
Exercise 11.1 | Q 2.08 | पृष्ठ २१

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Find the General Solution of the Following Equation: Tan M X + Cot N X = 0 - Mathematics

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