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in Complex number and Quadratic equations by (52.7k points)

Given that tan A and tan B are the roots of x2 − px + q = 0. Then the value of sin2 (A + B) is

(a)  p2/p2 + (1 - q)2 

(b)  p2/p2 + q2

(c)  q2/p2 + (1 - q)2

(d)  p2/(p + q)2

1 Answer

+1 vote
by (46.6k points)
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Best answer

Correct option  (a)  p2/p2 + (1 - q)2 

We have

tan A + tan B = p and tan A tan B = q

Therefore,

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