Convert the given points from polar coordinates to cartesian coordinates.

Question

a. (6, 90 degrees)

b. (-4,3pi)

Answer 1

x = r*cos t

y = r*sin t

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x = r*cos t = 6 * cos 90 = 0

y = r*cos t = 6* sin 90 = 6

so (0,6)

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3*pi = pi

x = -4*cos(pi) = -4*-1 = 4

y = -4*sin(pi) = 0

note that the radius is negative, which puts it on the positive x axis, despite being at 180