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The values of $\sin (\cos^{- 1} \frac{3}{5} + {cosec}^{- 1} \frac{13}{5})$ , is

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Correct option is D

sin⁡cos−1⁡35+cosec−1⁡135=sin⁡cos−1⁡35cos⁡cosec−1⁡135+cos⁡cos−1⁡35=sin⁡sin−1⁡45cos⁡cos−1⁡1213+cos⁡cos−1⁡35sin⁡sin−1⁡513=45×1213+35×513=6365

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The values of sin⁡cos−1⁡35+cosec−1⁡135, is

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The values of $\sin (\cos^{- 1} \frac{3}{5} + {cosec}^{- 1} \frac{13}{5})$ , is