   Chapter 10.4, Problem 9E

Chapter
Section
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=rcosθ and y=rsinθ

Calculation:

Consider the rectangular coordinates be (x,y)

x=rcosθ and y=rsinθ

Put the value of r and θ in above equation,

x=7cos(5π4)=7cos(π4)=7(12)=72

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