求曲线; x=acos^3Θ:y=asin^3Θ ,在Θ=π/6时的切线方程,法线方程,

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求曲线;x=acos^3Θ:y=asin^3Θ,在Θ=π/6时的切线方程,法线方程,求曲线;x=acos^3Θ:y=asin^3Θ,在Θ=π/6时的切线方程,法线方程,求曲线;x=acos^3Θ:y=

求曲线; x=acos^3Θ:y=asin^3Θ ,在Θ=π/6时的切线方程,法线方程,
求曲线; x=acos^3Θ:y=asin^3Θ ,在Θ=π/6时的切线方程,法线方程,

求曲线; x=acos^3Θ:y=asin^3Θ ,在Θ=π/6时的切线方程,法线方程,
dy/dx=(dy/dΘ)/(dx/dΘ)
=(3asin^2ΘcosΘ)/(-3acos^2ΘsinΘ)
=-tanΘ
dy(π/6)/dx=-根号3/3
x(π/6)=3a根号3/8 y(π/6)=a/8
切线方程:y-a/8=-根号3/3*(x-3a根号3/8)
y=-根号3/3*x+a/2
法线方程:y-a/8=根号3*(x-3a根号3/8)
y=根号3*x-a