Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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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Precalculus Enhanced with Graphing Utilities

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Short Answer

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

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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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

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

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.
$(6, 150 °)$