[" 11.If "a sin theta+b cos theta=c" ,then prove that "],[0<0.5 theta-b sin theta=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))

If a sin^(3) theta + b cos^(3) theta = sin^(3) theta * cos theta and a sin theta - b cos theta=0 , then prove that a^(2)+b^(2)=1 .

Ifa sin theta+b cos theta=C, then prove that a cos theta-b sin theta=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 x=a cos theta-b sin theta and y=a sin theta+b cos theta then prove that :x^(2)+y^(2)=a^(2)+b^(2)

If a sin theta + b cos theta = c then the value of a cos theta -b sin theta is :

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .

If x=(a+b)cos theta -b cos ((a+b)/(b))theta and y =(a+b) sin theta -b sin ((a+b)/(2b))theta then prove that

If x=(a+b)cos theta -b cos ((a+b)/(b))theta and y =(a+b) sin theta -b sin ((a+b)/(2b))theta then prove that

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.