Chapter 9: Q. 8 (page 567)

If P is a point with polar coordinates $(r, θ)$ the rectangular coordinates $(x, y)$ of P are given by x = _ and y = __.

Short Answer

Expert verified

If P is a point with polar coordinates $(r, θ)$ the rectangular coordinates $(x, y)$ of P are given by $x = r \cos θ$ and $y = r \sin θ$ .

Step by step solution

Step 1. Given information

We have been given statement:

If P is a point with polar coordinates $(r, θ)$ the rectangular coordinates $(x, y)$ of P are given by x = _____ and y = ______.

We have to fill in the blanks.

Step 2. Complete the statement using transformation

Polar coordinates $(r, θ)$ of a point are related to its rectangular coordinates $(x, y)$ as:

$r = \sqrt{x^{2} + y^{2}} x = r \cos θ y = r \sin θ$

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If P is a point with polar coordinates $(r, θ)$ the rectangular coordinates $(x, y)$ of P are given by x = _ and y = __.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Complete the statement using transformation

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If P is a point with polar coordinates (r,θ)the rectangular coordinates (x,y)of P are given by x = _____ and y = ______.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Complete the statement using transformation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Pure Maths

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

If P is a point with polar coordinates $(r, θ)$ the rectangular coordinates $(x, y)$ of P are given by x = _ and y = __.