If are the roots of the equation x^4 - ( 2 )^3 + ( 2 )x^2 - ( )x - = 0 Then,

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If tan⁡θ1,tan⁡θ2,tan⁡θ3,tan⁡θ4\tan \theta_1, \tan \theta_2, \tan \theta_3, \tan \theta_4 are the roots of the equation x4−(sin⁡2β)3+(cos⁡2β)x2−(cos⁡β)x−sin⁡β=0x^4 - (\sin 2\beta)^3 + (\cos 2\beta)x^2 - (\cos \beta)x - \sin \beta = 0 Then, tan⁡(θ1+θ2+θ3+θ4)\tan(\theta_1 + \theta_2 + \theta_3 + \theta_4) , is equal to

Related theory

Browse the problem library