If xsin^3 θ+ycos^3 θ=sinθ cosθ and x sinθ=y cosθ then prove that x^2+y^2=1

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x sin^3θ + ycos^(3 )θ = sin θ cos θ and x sin θ = y cos θ, prove that x^2+y^2=1 x sin^3θ + ycos^(3 )θ = sin θ cos θ and x sin θ = y cos θ, prove that x^2+y^2=1
𝑥 𝑠𝑖𝑛^3θ + 𝑦𝑐𝑜𝑠^θ = 𝑠𝑖𝑛θ 𝑐𝑜𝑠θ 𝑎𝑛𝑑 𝑥𝑠𝑖𝑛θ = 𝑦𝑐𝑜𝑠θ, then the value of x^2 + y^2 is 𝑥 𝑠𝑖𝑛^3θ + 𝑦𝑐𝑜𝑠^θ = 𝑠𝑖𝑛θ 𝑐𝑜𝑠θ 𝑎𝑛𝑑 𝑥𝑠𝑖𝑛θ = 𝑦𝑐𝑜𝑠θ, then the value of x^2 + y^2 is
Animated mathematics Equation of Sin (x) and Cos (x) Animated mathematics Equation of Sin (x) and Cos (x)
If xsin^3 theta + ycos^3 theta = sinthetacostheta and xsintheta = ycostheta , prove that x^2 + y^2=1 If xsin^3 theta + ycos^3 theta = sinthetacostheta and xsintheta = ycostheta , prove that x^2 + y^2=1