If a cos theta + b sin theta = m and a sin theta - b cos theta =n show that m^2 + n^2 = a^2 + b^2

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If a costheta + b sin theta = m and a sin theta - b cos theta = n , then prove a^2 + b^2 = m^2 +n^2 If a costheta + b sin theta = m and a sin theta - b cos theta = n , then prove a^2 + b^2 = m^2 +n^2
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Q30 | If a cos theta + b sin theta = m | a sin theta - b cos theta = n | prove that a^2+b^2=m^2+n^2. Q30 | If a cos theta + b sin theta = m | a sin theta - b cos theta = n | prove that a^2+b^2=m^2+n^2.
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If x = asin theta+bcos theta and y = acos theta-bsin theta, prove that x^2+y^2=a^2+b^2 /Trigonometry If x = asin theta+bcos theta and y = acos theta-bsin theta, prove that x^2+y^2=a^2+b^2 /Trigonometry