If x(1), x(2) , x(3) , x(4) are the roo...

If ` x_(1), x_(2) , x_(3) , x_(4)` are the roots of the equation `x^(4) - x^(3) sin 2 beta + x^(2) cos 2 beta - x cos beta - sin beta = 0 `
Then show :
` tan ^(-1) x_(1) + tan^(-1) x_(2) + tan^(-1) x_(3) + tan^(-1) x_(4) = pi/2 - beta`

A

`beta`

B

`(pi)/(2)-beta`

C

`pi-beta`

D

`-beta`

Text Solution

Verified by Experts

The correct Answer is:

B

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