If , are the roots of equation ,…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If tan⁡θi\tan \theta_i, i=1,2,3,4i = 1, 2, 3, 4 are the roots of equation x4−x3sin⁡2β+x2cos⁡2β−xcos⁡β−sin⁡β=0x^4 - x^3 \sin 2\beta + x^2 \cos 2\beta - x \cos \beta - \sin \beta = 0, then tan⁡(θ1+θ2+θ3+θ4)=\tan(\theta_1 + \theta_2 + \theta_3 + \theta_4) = (a) sin⁡β\sin \beta (b) cos⁡β\cos \beta (c) tan⁡β\tan \beta (d) cot⁡β\cot \beta

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