A particle’s position is for

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

Problem

A particle’s position is r(t)=⟨sin⁡t,  cos⁡2t⟩\mathbf r(t)=\langle\sin t,\;\cos 2t\rangle for 0≤t≤2π0\le t\le2\pi. List all values of tt in this interval where the particle changes vertical direction.

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