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convert the equations given in polar coordinates to equations in rectangular coordinates

θ=0,θ=π4,θ=-π2

Short Answer

Expert verified

The equations in rectangular form are:

y=0y=xx=0

Step by step solution

01

Step 1. Given information

Equation in polar form

θ=0,θ=π4,θ=-π2
02

Step 2. Convert the equations in rectangular form.

As we know that in polar form

θ=tan-1yx

So,

localid="1652107972021" θ=0tan-1yx=0yx=tan0yx=0y=0

θ=π4tan-1yx=π4yx=tanπ4yx=1y=x

θ=-π2tan-1yx=-π2yx=tan-π2yx=-10x=0

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