If tan theta(1), tan theta(2) tan theta(...

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

A

`sin beta`

B

`cos beta`

C

`tan beta`

D

`cot beta`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If tan theta + tan 2theta = tan 3theta , then theta =

If tan theta + tan 2theta + tan theta tan2theta =1 then theta =

If tan theta + tan 2theta + tan 3theta = 0 then theta =

If cos theta _(1) = 2 cos theta _(2), then tan (( theta _(1) + theta _(2))/(2)) tan (( theta _(1) - theta _(2))/(2)) is equal to

If tan theta + tan 2theta + sqrt(3) tan theta tan 2theta = sqrt(3) then theta =

If 3 tan ^(2) theta - 2 sin theta = 0 " then " theta =

If 4 sin theta + 3 cos theta =5 then tan theta =