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Prove that:cos^(-1)(12/13)+sin^(-1)(3/5)...

Prove that:`cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)`

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To prove that \( \cos^{-1}\left(\frac{12}{13}\right) + \sin^{-1}\left(\frac{3}{5}\right) = \sin^{-1}\left(\frac{56}{65}\right) \), we will follow these steps: ### Step 1: Define the angles Let: - \( A = \cos^{-1}\left(\frac{12}{13}\right) \) - \( B = \sin^{-1}\left(\frac{3}{5}\right) \) ### Step 2: Find \( \cos A \) and \( \sin B \) ...
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