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If tan theta1,tantheta2,tan theta3,tan t...

If `tan theta_1,tantheta_2,tan theta_3,tan theta_4` are the roots of the equation `x^4-x^3sin2beta+x^2cos2beta-xcosbeta-sinbeta=0` then prove that `tan(theta_1+theta_2+theta_3+theta_4)=cot beta `

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