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

If acostheta-bsintheta=c , then prove that: asintheta+bcostheta=+-sqrt(a^(2)+b^(2)-c^(2))

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

If acostheta+bsintheta=c , then prove that: asintheta-bcostheta=+-sqrt(a^(2)+b^(2)-c^(2))

If a cos theta-b sin theta=c, then a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)+c^(2))(b)+-sqrt(a^(2)+b^(2)-c^(2))(c)+-sqrt(c^(2)-a^(2)-b^(2))(d) None of these

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 alpha " and " beta are two distinct roots of a cos theta + b sin theta = c , prove that sin (alpha + beta) = (2ab)/(a^(2)+b^(2))