# Calculus problem #2154

Calculus Level 3

A curve is defined by $$(x,y) =\left(\cos^3 \theta, \sin^3 \theta \right)$$. If the equation for the tangent line at $$\theta=\frac{2}{3}\pi$$ is $$y=ax+b$$, what is the value of $$a \times b$$?

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