The curves and intersect at the origin

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The curves r1(t)=⟨t,t2,t3⟩\mathbf{r}_1(t) = \langle t, t^2, t^3 \rangle and r2(t)=⟨sin⁡t,sin⁡2t,t⟩\mathbf{r}_2(t) = \langle \sin t, \sin 2t, t \rangle intersect at the origin. Find their angle of intersection correct to the nearest degree.

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