Question

Plot the point (-5, 3) given in polar coordinates, and find other polar coordinates (r, θ) of the point for which the following are true: (a) r > 0, 0 < θ < 2π (b) r < 0, 0 < θ < 2π (c) r > 0, 0 < θ < 4π Select the graph that represents the point (-5, -3). (a) What are the coordinates of the point for which r > 0, 0 < θ < 2π? (Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (b) What are the coordinates of the point for which r < 0, 0 < θ < 2π? (Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (c) What are the coordinates of the point for which r > 0, 0 < θ < 4π? (Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

          Plot the point (-5, 3) given in polar coordinates, and find other polar coordinates (r, θ) of the point for which the following are true:
(a) r > 0, 0 < θ < 2π
(b) r < 0, 0 < θ < 2π
(c) r > 0, 0 < θ < 4π

Select the graph that represents the point (-5, -3).

(a) What are the coordinates of the point for which r > 0, 0 < θ < 2π?
(Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

(b) What are the coordinates of the point for which r < 0, 0 < θ < 2π?
(Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

(c) What are the coordinates of the point for which r > 0, 0 < θ < 4π?
(Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

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plot the point 5 3 given in polar coordinates and find other polar coordinates r 0 of the point for which the following are true ar 0 2ts00 br 0 002t cr 0 2ts0 at select the graph that repre 82557

Added by Milagros S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Alison Rodriguez

09/13/2022

Step 1

Step 1: Plot the point (-5, -π/3) on a polar graph. Show more…

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Plot the point (-5, 3) given in polar coordinates, and find other polar coordinates (r, θ) of the point for which the following are true: (a) r > 0, 0 < θ < 2π (b) r < 0, 0 < θ < 2π (c) r > 0, 0 < θ < 4π Select the graph that represents the point (-5, -3). (a) What are the coordinates of the point for which r > 0, 0 < θ < 2π? (Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (b) What are the coordinates of the point for which r < 0, 0 < θ < 2π? (Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) (c) What are the coordinates of the point for which r > 0, 0 < θ < 4π? (Type an ordered pair. Type an exact answer using fractions as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

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00:01 To begin, we're going to plot the point, negative 5, common negative pi over 3.

00:05 The first thing we recognize is there's a negative pi over 3, so if you have a polar graph, we're going to go in the downwards direction, a distance of pi over 3.

00:14 But because of the negative, it's going to go out a distance to 5.

00:17 So if you have 1, 2, 3, 4, 5 circles, it's going to go out to somewhere about here.

00:28 So if you took a look at the answers, the one that's going to make the most.

00:32 Sense there is going to be answer choice a.

00:36 So now we need to identify a couple more coordinates.

00:39 The first one is where r is greater than zero.

00:42 However, the point is going to be from negative 2 pi to 0.

00:46 So between negative 2 pi, less than theta, less than 0.

00:52 So the one that we're given here, we have to find the one that's going to be in quadrant 2 and keeping it as a positive.

01:01 So it has to have that reference angle of pi over three.

01:06 So think about it, we have one to one pi over three.

01:10 You'll go here.

01:11 Two pi over three lands here.

01:13 Three pi over three rants here.

01:14 So then going over to this one would be a negative four pi over three.

01:18 So in order to have a positive five, we would have to go a distance of negative four pi over three...

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