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If x1,x2, x3, x4 are the roots of the eq...

If `x_1,x_2, x_3, x_4` are the roots of the equation `x^4-x^3 sin2 beta+ x^2.cos2 beta-xcos beta-sin beta=0`, then `tan^-1x_1+tan^-1x_2+tan^-1x_3+tan^-1x_4` is equal to

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The correct Answer is:
`= pi/2 - beta`
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