Chapter 9: Q. 51 (page 568)

In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.
$(7.5, 110^{\circ})$

Short Answer

Expert verified

The rectangular coordinates is $(- 2.57, 7.05)$ .

Step by step solution

Step 1. Given Information

We are given polar coordinates of a point,

$(7.5, 110^{\circ})$

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,

$x = r \cos θ = 7.5 \cdot \cos 110 ° = 7.5 \cdot (- 0.3420) = - 2.57$

Similarly,

$y = r \sin θ = 7.5 \cdot \sin 110 ° = 7.5 (0.939) = 7.05$

So, the rectangular coordinates is $(- 2.57, 7.05)$ .

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In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.
$(7.5, 110^{\circ})$

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.(7.5,110∘)

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

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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.
$(7.5, 110^{\circ})$