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Write the Value of Sin − 1 ( Sin 3 π 5 ) - Mathematics

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प्रश्न

Write the value of \[\sin^{- 1} \left( \sin\frac{3\pi}{5} \right)\]

उत्तर

\[\sin^{- 1} \left( \sin\frac{3\pi}{5} \right) = \sin^{- 1} \left[ \sin\left( \pi - \frac{2\pi}{5} \right) \right]\]
\[ = \sin^{- 1} \left( \sin\frac{2\pi}{5} \right)\]
\[ = \frac{2\pi}{5}\]

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अध्याय 4: Inverse Trigonometric Functions - Exercise 4.15 [पृष्ठ ११८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.15 | Q 46 | पृष्ठ ११८

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