Convert the following polar equations to rectangular equations. a. r=1/(4sinx-3sinx) b.r=4

Haven 2020-11-02 Answered
Convert the following polar equations to rectangular equations.
a. r=14sinx3sinx
b.r=4
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Expert Answer

Luvottoq
Answered 2020-11-03 Author has 95 answers
Step 1
To Determine:
Convert the following polar equations to rectangular equations.
a.14sinx3sinx
b. r =4
Step 2
Explanation:
a.
Given that,
r=14sinx3sinx=1sinx
Multiply both the side r
r2=rsinx
We know that,
r2=x2+y2
x2+y2=rsinx
and we know that,
y=rsinx
r=ysinx
Put the value of r
x2+y2=ysinx/(sinx)
x2+y2=ysin2x
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