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Find the Value of Tan − 1 ( Tan 9 π 8 ) - Mathematics

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प्रश्न

Find the value of \[\tan^{- 1} \left( \tan\frac{9\pi}{8} \right)\]

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उत्तर

\[\tan^{- 1} \left( \tan\frac{9\pi}{8} \right) = \tan^{- 1} \left[ \tan\left( \pi + \frac{\pi}{8} \right) \right]\]
\[ = \tan^{- 1} \left[ \tan\left( \frac{\pi}{8} \right) \right]\]
\[ = \frac{\pi}{8}\]

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.15 [पृष्ठ ११९]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.15 | Q 60 | पृष्ठ ११९

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