Roots

If a, b are roots of cos2x + acocx + b=0 as well as of sin2x + psinx + q, then a, b, p, q satisfy the relation

1)1 + b + a2 = p2 - q - 1
2)a2 + b2 = p2 + q2
3)b + q = a2 + p2 - 2

answer given is 3

3 Answers

1
chinmaya ·

well i did not solve it completely but at a first sight i feel that it should be
2(b + q) = a2 + p2 - 2

1708
man111 singh ·

Chinmaya I have also got the same answer.

1
swordfish ·

do you mind posting the solution?

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