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Prove that `cot^(-1).(3)/(4) + sin^(-1).(5)/(13) = sin^(-1).(63)/(65)` |
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Answer» `cot^(-1).(3)/(4) + sin^(-1).(5)/(13) = sin^(-1).(4)/(5) + sin^(-1).(5)/(13)` `=sin^(-1) ((4)/(5) sqrt(1- ((5)/(13))^(2)) + (5)/(3) sqrt(1 - ((4)/(5))^(2)))` `= sin^(-1) ((4)/(5) (12)/(13) + (5)/(13) (3)/(5)) = sin^(-1).(63)/(65)` |
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