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The value of `alpha` so that `sin^(-1)((2)/(sqrt(5)))`, `sin^(-1)((3)/(sqrt(10)))` and `sin^(-1)alpha` are the angles of a Delta isA. `(1)/(2)`B. `(sqrt(3))/(2)`C. `(1)/(sqrt(2))`D. `(1)/(sqrt(3))` |
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Answer» Correct Answer - C `becausesin^(-1)((2)/(sqrt(5)))+sin^(-1)((3)/(sqrt(10)))+sin^(-1)alpha=pi` `impliestan^(-1)(2)+tan^(-1)(3)+sin^(-1)alpha=pi` `impliespi-tan^(-1)(1)+sin^(-1)(alpha)=piimpliesalpha=(1)/(sqrt(2))` |
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