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Chapter 9: Q 52. (page 731)

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

y=3x

Short Answer

Expert verified

The required equation is胃=蟺3.

Step by step solution

01

Step 1. Given information.

The given equation in rectangular coordinates is:

y=3x

02

Step 2. Find the equation in rectangular coordinates. 

y=3x

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

rsin胃=3路rcos胃

Divide both sides by r,

rsin胃r=3路rcos胃rsin胃=3cos胃

Divide both sides by cos胃,

sin胃cos胃=3cos胃cos胃tan胃=3胃=蟺3

Therefore, the equation in polar coordinates is胃=蟺3.

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Most popular questions from this chapter

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.

r2=cos胃

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Given two points in a plane, called _______, a hyperbola is the set of points in the plane for which ________.

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

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0,2
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