A remote control car travels counter-clockwise around a circle with a 4 foot rad

Question

A remote control car travels counter-clockwise around a circle with a 4 foot radius. The car begins at the 3 o'clock position on the circle (ie., the point (4,0) in the zy plane), and sweeps an angle with a measure of 8 radians as it drives around the track to its final position (e, y) as indicated in the diagram below (x, y) 4 ft (0, 0) (4,0) Estimate the values of the following expressions. Enter only values (or their opposites) from the following list: 0, 0.1, 0.25, 0.5, 0.85, 1, 2,3.4,4 cos() = sin(0) = Preview Preview Preview Preview Points possible: 4

Explanation / Answer

as values of theta, x, y not given so we need to estimate from graph.

value of x is negative and close to 4 so it must be -3.4 and value of y is positive and nearly half of radius i.e. 2

so cos theta = - x/r = - 2/4 = -0.5

sin theta = -y/r = 3.4/4 = 0.85

x =   -3.4

y =  2

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