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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If θ_i ; i=1,2,3,4 are the roots of equation x^4 - x^3 2β + x^2 2β...

If tan⁡θi;i=1,2,3,4\tan\theta_i ; i=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) =

Options

  1. Asin⁡β\sin\beta
  2. Bcos⁡β\cos\beta
  3. Ctan⁡β\tan\beta
  4. Dcot⁡β\cot\beta.

Correct answer

D. cot⁡β\cot\beta.

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