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If tan A & tan B are the roots of the ...

If `tan A & tan B` are the roots of the quadratic equation `x^2 - ax + b = 0`, then the value of `sin^2 (A +B)` is:

A

`(a^(2))/(a^(2)+(1-b)^(2)`

B

`(a^(2))/(A^(2)+b^(2))`

C

`(a^(2))/(b+c)^(2)`

D

`(a^(2))/(b^(2)(1-a)^(2)`

Text Solution

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The correct Answer is:
A
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