sqrt[8 - 2x^2] , x= 2cos? x= 2cos? x^2 = 4cos^2(x) 2x^2 = 8cos^2(x) sqrt(8 - 2x^2) sqrt[8 - 8cos^2(x)] sqrt[8(a million - cos^2(x))] aspect word: sin^2(x) + cos^2(x) = a million so sin^2(x) = a million - cos^2(x) making use of the "aspect word": sqrt[8(a million - cos^2(x))] sqrt[8sin^2(x)] sqrt(8)sin(x) 2sqrt(2)sin(x) <==== answer
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√(100-4x²) = √(100-4cos²θ ) = 10sin θ
sqrt[8 - 2x^2] , x= 2cos? x= 2cos? x^2 = 4cos^2(x) 2x^2 = 8cos^2(x) sqrt(8 - 2x^2) sqrt[8 - 8cos^2(x)] sqrt[8(a million - cos^2(x))] aspect word: sin^2(x) + cos^2(x) = a million so sin^2(x) = a million - cos^2(x) making use of the "aspect word": sqrt[8(a million - cos^2(x))] sqrt[8sin^2(x)] sqrt(8)sin(x) 2sqrt(2)sin(x) <==== answer