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In Problems5–7, convert the polar equation to a rectangular equation. Graph the equation.

tanθ=3

Short Answer

Expert verified

The rectangular equation is y=3x.

The graph is as follows,

Step by step solution

01

Step 1. Given information  

We are given a polar equation,

tanθ=3

We have to convert the polar equation to a rectangular equation.

02

Step 2. Converting the polar equation to rectangular equation 

We know that,

x=rcosθandy=rsinθx2+y2=r2

So,

tanθ=3yx=3y=3x

03

Step 3. Graphing the equation 

The graph is as follows,

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