a = x(sin A+ cos A) and d = y (sin A – cos A) then find (a/x)2 + (d/y)2
a = x(sin A+ cos A) so a/x = sin A+ cos A d = y (sinA-cosA) so d/y =sinA - cosA Now, (a/x)2 + (d/y)2 = (sin A + cos A)2 + (sin A-cos A)2 = 2(sin2 A+ cos2 A) = 2 × 1 = 2
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