Each option below describes a parameterization of a curve in the plane

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Each option below describes a parameterization of a curve in the plane, where s≥0s\ge 0 denotes the parameter. Which parameterization traces the unit circle once counter-clockwise starting at (1,0)(1,0) and moves with constant speed 11? (a) x=cos⁡2s,  y=sin⁡2sx=\cos 2s,\; y=\sin 2s (b) x=cos⁡s,  y=sin⁡sx=\cos s,\; y=\sin s (c) x=cos⁡s,  y=−sin⁡sx=\cos s,\; y=-\sin s (d) x=cos⁡s,  y=sin⁡s+1x=\cos s,\; y=\sin s+1

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