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If the middel term of `(x+(1)/(x)sinx)^(12)` is `(6237)/(16)` then the value of `sin^(-1)(sinx) ` is (are)A. `(-pi)/(4)`B. `(-pi)/(3)`C. `(pi)/(4)`D. `(pi)/(3)` |
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Answer» BD Middle term `=""^(12)C_(6)x^(6)((sinx)/(x))^(6)=(6237)/(16)` `sin^(6)x=((sqrt(3))/(2))^(6)` `sin x=pm(sqrt(3))/(2)implies sin^(-1) sinx= pm(pi)/(3)` |
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