Chapter 9: Q. 43 (page 567)

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.
$(6, 150 °)$

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates $(6, 150 °)$ are $(- 3 \sqrt{3}, 3)$

Step by step solution

Step 1. Given information

The given poplar coordinates of a point $(6, 150 °)$

Step 2. Finding the value of x

For a point P on the terminal side of $θ$ and having polar coordinates $(r, θ)$ , the corresponding rectangular coordinates are given by $x = r \cos θ$ and $y = r \sin θ$ .
Substitute $6$ for $r$ and $150 °$ for $θ$ in to get the value of x .

$x = r \cos θ = 6 . \cos (150 °) = 6 . (- \frac{\sqrt{3}}{2}) = - 3 \sqrt{3}$

Step 3. Find the value of y.

$y = r \sin θ = 6 . \sin (150 °) = 6 . \frac{1}{2} = 3$

Therefore, the rectangular coordinates corresponding to the polar coordinates $(6, 150 °)$ are $(- 3 \sqrt{3}, 3)$

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In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.
$(6, 150 °)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the value of x

Step 3. Find the value of y.

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In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.(6,150°)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the value of x

Step 3. Find the value of y.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.
$(6, 150 °)$