InterviewSolution
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InterviewSolution
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For the principalvalues, evaluate each of the following :`sin^(-1)(-1/2)+2cos^(-1)(-(sqrt(3))/2)`(ii) `sin^(-1)(-(sqrt(3))/2)+cos^(-1)((sqrt(3))/2)`A. `1/sqrt(26)`B. `5/sqrt(26)`C. `1/sqrt(24)`D. none of these |
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Answer» Correct Answer - C Range of `cos^(-1)` is `[0,pi]`. `cos^(-1)(-sqrt(3)/2)=x rArr cosx=-sqrt(3)/2 =-cospi/6 = cos(pi-pi/6)=cos(5p)/6 rArr x=(5pi)6` `sin^(-1)(-1/2)+2cos^(-1)(-sqrt(3)/2)=-sin^(-1)1/2+2 xx (5pi)/6 = -pi/6+(5pi)/6=(9pi)/6=(3pi)/2`. |
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