This Question 4 pts 14 of 21 12 com Convert the polar equati

This Question: 4 pts 14 of 21 (12 com Convert the polar equation 4 cos -9 sin 0 to its equivalent rectangular equation. Express the equation in general form. Enter your answer in the answer box. opic 3 8

Solution

We have given r=4cos(theta)-9sin(theta)

we multiply both sides by r

r²=4rcos(theta)-9rsin(theta)

we use x=rcos(theta),y=rsin(theta) and r²=x^2+y^2

x^2+y^2=4x-9y

x^2+y^2-4x+9y=0