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Chapter 9: Q. 68 (page 568)

The letters x and y represent rectangular coordinates. Write each equation using polar coordinates r,胃.

x2+y2=x

Short Answer

Expert verified

The equation using polar coordinates is r(r-cos胃)=0.

Step by step solution

01

Step 1. Given Information and Concept used 

We are given an equation,

x2+y2=x

If P is a point with polar coordinates r,胃, the rectangular coordinates x,y of P are given by,

x=rcos胃y=rsin胃

02

Step 2. Converting into polar coordinates 

Substituting the value of x and y,we get

(rcos胃)2+(rsin胃)2=rcos胃r2cos2胃+sin2胃=rcos胃r2(1)=rcos胃r2-rcos胃=0r(r-cos胃)=0

Hence the equation is r(r-cos胃)=0.

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Write the expression in the standard form a+bi.

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