Chapter 10.4, Problem 9E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Polar-to-Rectangular Conversion In Exercises 5-14, the polar coordinates of a point are given. Plot the point and find the correspondingrectangular coordinates for the point. ( 7 , 5 π 4 )

To determine

To Calculate: The rectangular coordinates for polar coordinates of point (r,θ)=(7,5π4) and also plot the point.

Explanation

Formula Used:

The rectangular coordinates are given by,

x=rcosÎ¸ and y=rsinÎ¸

Calculation:

Consider the rectangular coordinates be (x,y)

x=rcosÎ¸ and y=rsinÎ¸

Put the value of r and Î¸ in above equation,

x=7cos(5Ï€4)=âˆ’7cos(Ï€4)=âˆ’7(12)=âˆ’72

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