Chapter 9: Q. 40 (page 567)

The polar coordinates of a point are given. Find rectangular coordinates of each point.
$(4, \frac{3 π}{2})$

Short Answer

Expert verified

The rectangular coordinate is $(0, - 4)$ .

Step by step solution

Step 1. Given information.

The given polar coordinates of a point is $(4, \frac{3 π}{2})$

Step 2. Finding rectangular x-coordinate.

We know that if a point $P$ on the terminal side of

θ

and has polar coordinates

(r, θ)

, then the corresponding rectangular coordinates are given by

x = r \cos θ

and

y = r \sin θ

.
On substituting we get,

x = r \cos θ = 4 \cos \frac{3 π}{2} = 4 (0) = 0

Step 3. Finding rectangular y-coordinate.

Similarly on substituting we get,

y = r \sin θ = 4 \sin \frac{3 π}{2} = 4 (- 1) = - 4

Therefore, the rectangular coordinates are $(0, - 4)$ .

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The polar coordinates of a point are given. Find rectangular coordinates of each point.
$(4, \frac{3 π}{2})$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding rectangular x-coordinate.

Step 3. Finding rectangular y-coordinate.

One App. One Place for Learning.

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The polar coordinates of a point are given. Find rectangular coordinates of each point.4,3π2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding rectangular x-coordinate.

Step 3. Finding rectangular y-coordinate.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Geometry

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

The polar coordinates of a point are given. Find rectangular coordinates of each point.
$(4, \frac{3 π}{2})$