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Prove that:cos^(-1)(4/5)+cos^(-1)(12/13)...

Prove that:`cos^(-1)(4/5)+cos^(-1)(12/13)=cos^(-1)(33/65)`

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To prove that \( \cos^{-1}\left(\frac{4}{5}\right) + \cos^{-1}\left(\frac{12}{13}\right) = \cos^{-1}\left(\frac{33}{65}\right) \), we can use the formula for the sum of two inverse cosines: \[ \cos^{-1}(x) + \cos^{-1}(y) = \cos^{-1}(xy - \sqrt{(1-x^2)(1-y^2)}) \] ### Step 1: Identify \( x \) and \( y \) ...
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