Question

if acosx+bSINx=m,asinx-bcosx=n find a^2+b^2=m^2+n^2​

Answer 1

Answer:

A.T.Q,

•a^2 + b^2 = m^2+n^2

•a^2+b^2 = (acosx)^2+(bsinx)^2+2ab(sinx)(cosx)

+(asinx)^2+(bcosx)^2-2ab(sinx)(cos)

•a^2+b^2 = a^2(cos^2x+sin^2x) + b^2(cos^2x+sin^2x)

•a^2+b^2 = a^2+b^2

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