Question

If sin theta cos theta are the roots of x square + qx + r is is equal to zero then find the value q2-p2

Answer 1

Step-by-step explanation:

px2+qx+r=0

roots are sinθ and cosθ

sinθ+cosθ=p−q          sinθ.cosθ=r/p

(sinθ+cosθ)2=p2q2

1+2(pr)=p2q2

pp+2r=p2q2

p(p+2r)=q2

p2−q2+2pr=0