If a `costheta-bs intheta=c ,` show that a `s intheta+bcostheta=+-sqrt(a^2+b^2+c^2dot)`

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

If acostheta+bsintheta=m and asintheta-bcostheta=n , then show that a^(2)+b^(2)=m^(2)+n^(2) .

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

If asintheta+bcostheta=c , then acostheta-b sintheta is equal to

If cottheta=(b)/(a) ,show that (asintheta-bcostheta)/(asintheta+bcostheta)=(a^(2)-b^(2))/(a^(2)+b^(2)) .

If x=acostheta-bsinthetaandy=asintheta+bcostheta , then show that : x^(2)+y^(2)=a^(2)+b^(2)

Show that the product of perpendiculars on the line x/a costheta+y/b s intheta=1 from the points (+-sqrt(a^2-b^2),\ 0)i s\ b^2dot