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Vectors vec(A) and vec(B) include an ang...

Vectors `vec(A)` and `vec(B)` include an angle `theta` between them If `(vec(A)+vec(B))` and `(vec(A)-vec(B))` respectively subtend angles `apha` and `beta` with A, then `(tan alpha+tan beta)` is

A

`((AB sin theta))/((A^(2) + B^(2) cos^(2) theta))`

B

`((2AB sin theta))/((A^(2) - B^(2) cos^(2) theta))`

C

`((A^(2) sin^(2) theta))/((A^(2) + B^(2) cos^(2) theta))`

D

`((B^(2) sin^(2) theta))/((A^(2) - B^(2) cos^(2) theta))`

Text Solution

Verified by Experts

The correct Answer is:
B
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