InterviewSolution
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InterviewSolution
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If `alpha le sin^(-1)x+cos^(1)x +tan^(-1)xlebeta` thenA. `alpha=(pi)/(4),beta =(3pi)/(4)`B. `alpha=-pi, beta=2pi`C. `alpha=0, beta=pi`D. none of these |
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Answer» We have `sin^(-1)x+cos^(-1)x=(pi)/(2)` for all `x in [-1,1]` Also `-(pi)/(4)le tan x le(pi)/(4)` for all `x in [-1,1]` `therefore -(pi)/(4)+(pi)/(2)lesin^(-1)x+cos^(-1)x+tan^(-1)xle(pi)/(41)+(pi)/(2)` `rarr (pi)/(4)lesin^(-1)x+cos^(-1)x+tan^(-1)xle(3pi)/(4)` |
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