50. A circle of radius 2 and center (0, 0) can be parametrized by the equations x = 2 cos t and y = 2 sin t. Show that for any value of t, the line tangent to the circle at (2 cos t, 2 sin t) is perpendicular to the radius. See page 156. (2 cos t, 2 sin t)

50. A circle of radius 2 and center (0, 0) can be parametrized by the equations x = 2 cos t and y = 2 sin t. Show that for any value of t, the line tangent to the circle at (2 cos t, 2 sin t) is perpendicular to the radius. See page 156. (2 cos t, 2 sin t)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

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Question

50. A circle of radius 2 and center (0, 0) can be parametrized by the
equations x = 2 cos t and y = 2 sin t. Show that for any value
of t, the line tangent to the circle at (2 cos t, 2 sin t) is
perpendicular to the radius. See page 156.
(2 cos t, 2 sin t)

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