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Given tan A and tan B are the roots of x...

Given tan A and tan B are the roots of `x^(2)-ax+b=0`. 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)/((a+b)^2)`

D

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

Text Solution

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The correct Answer is:
A
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