Chapter 9: Q. 52 (page 568)

In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.
$(- 3.1, 182 °)$

Short Answer

Expert verified

The rectangular coordinates is $(3.098, 0.093)$ .

Step by step solution

Step 1. Given Information

We are given polar coordinates of a point,

$(- 3.1, 182 °)$

The rectangular coordinates are given by $x = r \cos θ$ and

$y = r \sin θ$

Step 2. Finding the rectangular coordinates

The rectangular coordinates is given by,

$x = r \cos θ = - 3.1 \cos (182 °) = - 3.1 \times (- 0.9994) = 3.098$

Similarly,

$y = r \sin θ = - 3.1 \sin (182 °) = - 3.1 \times (- 0.03) = 0.093$

So, the rectangular coordinates is $(3.098, 0.093)$ .

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In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.
$(- 3.1, 182 °)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the rectangular coordinates

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In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.-3.1,182°

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the rectangular coordinates

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Probability and Statistics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.
$(- 3.1, 182 °)$