Chapter 9: Q. 3 (page 629)

In Problems 1–3, plot each point given in polar coordinates, and find its rectangular coordinates:
$(- 3, - \frac{π}{2})$

Short Answer

Expert verified

The rectangular co-ordinates of the polar co-ordinate $(- 3, - \frac{π}{2})$ are $(0, 3)$ and the graph is

Step by step solution

Step 1. Given Information

We are given the polar co-ordinates as $(- 3, - \frac{π}{2})$

Comparing it with standard polar co-ordinates $(r, θ)$ , we get,

$r = - 3, θ = - \frac{π}{2}$

Step 2. Plotting the polar co-ordinate

Since the angle is $\frac{- π}{2}$ , we will make the angle between the axis and the line as $\frac{- π}{2}$ Also the length is given as $r = - 3$ (Opposite direction)

Step 3. Rectangular co-ordinates.

We know, the relation between polar and rectangular co-ordinates is,

$x = r \cos θ and y = r \sin θ$

Thus the value is

$x = - 3 . \cos (- \frac{π}{2}) x = 0 y = - 3 . \sin (- \frac{π}{2}) y = - 3 . - 1 y = 3$

Thus, the point will be $(0, 3)$

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In Problems 1–3, plot each point given in polar coordinates, and find its rectangular coordinates:
$(- 3, - \frac{π}{2})$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the polar co-ordinate

Step 3. Rectangular co-ordinates.

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In Problems 1–3, plot each point given in polar coordinates, and find its rectangular coordinates:-3,-π2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the polar co-ordinate

Step 3. Rectangular co-ordinates.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In Problems 1–3, plot each point given in polar coordinates, and find its rectangular coordinates:
$(- 3, - \frac{π}{2})$