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Chapter 9: Q 54. (page 731)

In Exercises 48鈥�55 convert the equations given in rectangular coordinates to equations in polar coordinates.

y=x+1

Short Answer

Expert verified

The required equation isr=1sin胃-cos胃.

Step by step solution

01

Step 1. Given information.

The given equation in rectangular coordinates is:

y=x+1

02

Step 2. Find the equation in rectangular coordinates. 

y=x+1

As we know that in polar coordinates x=rcos胃andy=rsin胃, then substitute the value of yand x,

rsin胃=rcos胃+1rsin胃-rcos胃=1rsin胃-cos胃=1

Divide both sides by sin胃-cos胃,

rsin胃-cos胃sin胃-cos胃=1sin胃-cos胃r=1sin胃-cos胃

Therefore, the equation in polar coordinates isr=1sin胃-cos胃.

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