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

If `tan theta_(1), tan theta_(2), tan theta_(3), tan theta_(4)` are the roots of the equation
`x^(4)-(sin 2 beta)^(3)+(cos 2 beta) x^(2)-(cos beta)x- 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`

Text Solution

Verified by Experts

The correct Answer is:
D
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