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Number of roots of the equation |sinxcos...

Number of roots of the equation `|sinxcosx|` `+sqrt(2+t a n^2x+cot^2x)=sqrt(3),x in [0,4pi]a r e`

A

`[0,pi/3]`

B

`(pi/3pi/2)`

C

`[(3pi)/4,pi)`

D

None of these

Text Solution

Verified by Experts

`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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