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Chapter 9: Q. 67 (page 568)

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

2x2+2y2=3

Short Answer

Expert verified

The equation using polar coordinates is r2=32.

Step by step solution

01

Step 1. Given Information and Concept used 

We are given an equation,

2x2+2y2=3

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

2(rcos胃)2+2(rsin胃)2=32r2cos2胃+2r2sin2胃=32r2cos2胃+sin2胃=32r2脳1=3r2=32

Hence the equation is r2=32.

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