If asintheta+ bcostheta =n N ,acostheta+ bsintheta = m Prove :- m?+n?= a?+b? Share with your friends Share 0 Shruti Tyagi answered this Dear student, Given:-m=acosθ-bsinθS.B.Sm2=acosθ-bsinθ2m2=a2cos2θ+b2sin2θ-2absinθcosθ --(1) --[using a-b2=a2+b2-2ab]Also givenn=asinθ+bcosθS.B.Sn2=asinθ+bcosθ2n2=a2sin2θ+b2cos2θ+2absinθcosθ --(2) --[using a+b2=a2+b2+2ab]m2+n2=a2cos2θ+sin2θ+b2sin2θ+cos2θ-2absinθcosθ +2absinθcosθ m2+n2=a2+b2 --[using cos2θ+sin2θ=1]Hence proved Regards 0 View Full Answer