Assume time t runs from zero to 2pi and that the unit circle has been labeled as

Question

Assume time t runs from zero to 2pi and that the unit circle has been labeled as a clock. Match each of the pairs of parametric equations with the best description of the curve from the following list. Enter the appropriate letter (A, B, C, D, E, F ) in each blank. A. Starts at 12 o'clock and moves clockwise one time around. B. Starts at 6 o'clock and moves clockwise one time around. C. Starts at 3 o'clock and moves clockwise one time around. D. Starts at 9 o'clock and moves counterclockwise one time around. E. Starts at 3 o'clock and moves counterclockwise two times around. F. Starts at 3 o'clock and moves counterclockwise to 9 o'clock. 1- x = cos(t) ; y= -sin(t) 2- x = -cos(t) ; y= -sin(t) 3- x= sin(t) ; y= cos(t) 4- x= -sin(t) ; y= -cos(t) 5- x = cos(t/2) ; y= sin(t/2)

Explanation / Answer

http://www.cramuniversity.com/math/calc2/9.1.php

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