If `acostheta-b sintheta =c`; prove that `a sin theta + b costheta = pmsqrt(a^2+b^2-c^2)`

If a cos theta-b sin theta=c; prove that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)-c^(2))

If a costheta -b sin theta = c ,then prove that a sintheta + b costheta=+-sqrt(a^2+b^2-c^2 )

If a cos theta - b sin theta = c, prove that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2)) .

If a cos theta - b sin theta =c , then prove that a sin theta + b cos theta = +- sqrt(a^(2) + b^(2) - c^(2))

If a costheta-b sintheta=c ,show that a sintheta+bcostheta=+-sqrt(a^2+b^2-c^2)

If a sintheta + bcos theta = C, then prove that a costheta -b sintheta = sqrt(a^2+b^2-c^2)

If a sin theta+b cos theta=c then prove that a cos theta-b sin theta=sqrt(a^(2)+b^(2)-c^(2))

Ifa sin theta+b cos theta=C, then prove that a cos theta-b sin theta=sqrt(a^(2)+b^(2)-c^(2))

If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+b^2=x^2+y^2

If a costheta + b sintheta=3 and a sintheta - b costheta=4 , then a^(2)+b^(2) has the value 25