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 `

If tan theta_(1), tan theta_(2) tan theta_(3) and tan theta_(4) are the roots of the equation x^(4) - x^(3) sin 2 beta + x^(2) cos 2 beta - x cos beta - sin beta = "0 then tan" (theta_(1) + theta_(2) + theta_(3) + theta_(4)) is equal to

(tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta

If: tantheta + tan 2theta + tan 3theta = tan theta.tan2theta.tan 3theta , then: theta =

Prove that (tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta

If tan2theta.tan4theta=1 , find sin2theta+cos4theta=?

f theta_(1),theta_(2),theta_(3),theta_(4),theta_(5)in(0,(pi)/(2)), satisfying tan theta_(1)tan theta_(2)tan theta_(3)tan theta_(4)tan theta_(5)=1 then maximum_(2 value of )theta_(3)tan theta_(4)cos theta_(5) is cos theta_(1)cos theta_(2)cos theta_(3)cos theta_(4)cos theta_(5) is

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

Prove that tan^4theta+tan^2theta=sec^4theta-tan^2theta-1