If \( \sin \theta, \cos \theta \) are the roots of \( a x^{2}+b x+c=0 \) then prove that \( b^{2...

If \( \sin \theta, \cos \theta \) are the roots of \( a x^{2}+b x+c=0 \) then prove that \( b^{2}=a^{2}+2 a c \).