Show that the curve with parametric equations ,

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

Problem

Show that the curve with parametric equations x=tcos⁡tx = t \cos t , y=tsin⁡ty = t \sin t , z=tz = t lies on the cone z2=x2+y2z^2 = x^2 + y^2 , and use this fact to help sketch the curve.

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