Question

acosq+bsinq=m &asinq-bcosq=n
Then prove that m²+n²=a²+b²

Answer 1

Answer:

Step-by-step explanation:

L.H.S=m^2+n^2

That gives, (acosq+bsinq)^2+(asinq-bcosq)^2

                   a^2cos^2q+b^2sin^2q+2abcosqsinq+a^2sin^2q+b^2cos^2q-

                    2absinqcosq

                   a^2(Cos^2q+Sin^2q)+b^2(Cos^2q+Sin^2q)

                   A^2+B^2=R.H.S

Hope it helps!!!

Answer 2

Hope this works buddy !

Thanks !

Mark as brainlist if it really works out for yaa :D
Ignore bad handwriting :P