The variable `x` satisfying the equation `|sinxcosx|+sqrt(2+tan^2+cot^2x)=sqrt(3)` belongs to the interval `[0,pi/3]` (b) `(pi/3,pi/3)` (c) `[(3pi)/4,

Monjur Alahi

The variable `x` satisfying the equation `|sinxcosx|+sqrt(2+tan^2+cot^2x)=sqrt(3)` belongs to the interval `[0,pi/3]` (b) `(pi/3,pi/3)` (c) `[(3pi)/4,pi]` (d) none-existent
A. `[0,pi/3]`
B. `(pi/3pi/2)`
C. `[(3pi)/4,pi)`
D. None of these


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Salim Ahmed Kawsar

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Correct Answer - D
`abs(sinxcosx)+abs(tanx+cotx)=sqrt3`
`or abs(sinxcosx)+1/abs(sinxcosx)=sqrt3`
But `abs(sinxcosx)+1/(abs(sinxcosx))ge2`
hence, no solution.

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