[" 58.If "a cos theta+gamma b sin theta=m" and "a sin theta-b cos theta=n],[" Prove that : "a^(2)+b^(2)=m^(2)+n^(2)]

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, Prove that a^(2)+b^(2)=m^(2)+n^(2)

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, prove that a^(2)+b^(2)=m^(2)+n^(2)

If a cos theat + b sin theta = m and a sin theta- b cos theta = n, then prove that a^2 + b^2 = m^2 + n^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 cos theta +bsin theta=x and a sin theta-b cos theta = y then prove that a^2+b^2=x^2+y^2

If a cos theta + b sin theta =4 and a sin theta- b cos theta = 3 " then" a^(2) + b^(2) is equal to

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.

If xcos theta- y sin theta =a, x sin theta + y cos theta = b , prove that: x^(2) + y^(2) = a^(2) + b^(2) .

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, then a^(2)+b^(2)=m^(2)-n^(2)(b)m^(2)n^(2)(c)n^(2)-m^(2)(d)m^(2)+n^(2)