InterviewSolution
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InterviewSolution
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The value of`sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12))/4+sec^(-1)sqrt(2))}`is equal to`pi/4`(b) `pi/2`(c) 0(d) `-pi/2`A. `(pi)/(6)`B. `(pi)/(6)`C. 0D. `(pi)/(2)` |
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Answer» `sin^(-1){cot(sin^(-1)sqrt(2-sqrt(3))/(4)+cos^(-1)sqrt(12)/(4)+sec^(-1)sqrt(2))}` `=sin^(-1){cot(sin^(-1)sqrt(3)-1)/(2sqrt(2))+cos^(-1)sqrt(3)/(2)+sec^(-1)sqrt(2))}` `sin^(-1){cost(pi)/(12)+(pi)/(6)+(pi)/(4)}=sin^(-1)(cot(pi)/(2))=sin^(-1)0=0` |
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