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Show that sin^(-1)(12)/(13)+cos^(-1)4/5+...

Show that `sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi`.

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To show that \( \sin^{-1}\left(\frac{12}{13}\right) + \cos^{-1}\left(\frac{4}{5}\right) + \tan^{-1}\left(\frac{63}{16}\right) = \pi \), we will follow these steps: ### Step 1: Define Variables Let: - \( x = \sin^{-1}\left(\frac{12}{13}\right) \) - \( y = \cos^{-1}\left(\frac{4}{5}\right) \) - \( z = \tan^{-1}\left(\frac{63}{16}\right) \) ...
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Prove the following results: tan(sin^(-1)(5)/(13)+cos^(-1)3/5)=(63)/(16) (ii) sin(cos^(-1)3/5+sin^(-1)5/(13))=(63)/(65)