Question
If y= asinx+bcosx then prove that y²+(dy/dx)²=a²+b²Read 1 Solution.
y2=( a(Sinx) + b(cos x))2
=a2(sin2x) + b2(cos2x) + 2ab cosx sinx ............ 1
y' = acosx - bsinx
(y')2= a2cos2x + b2sin2x - 2ab sinx cosx ............. 2
1 + 2,
a2(sin2x+cos2x) + b2(sin2x + cos2x) + 2ab sinx cosx - 2ab sinx cosx = a2 + b2
SREERAM MALLAN 7 year ago
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