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

x=4

Short Answer

Expert verified

The required equation isr=4secθ.

Step by step solution

01

Step 1. Given information.

The given equation in rectangular coordinates is:

x=4

02

Step 2. Find the equation in rectangular coordinates. 

x=4

As we know that x=rcosθ in polar coordinates, then substitute the value of x,

rcosθ=4

Divide both sides by cosθ,

rcosθcosθ=4cosθr=4secθ

Therefore, the equation in polar coordinates isr=4secθ.

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