Change the following equations from Rectangular Form to Pola

Change the following equations from Rectangular Form to Polar Form, or vice-versa:

Solution

Solution:

(C)

y = 2x -3

to convert into polar for

Plug x = r cos() and y = rsin()

r sin() =2 rcos() -3

r (sin() -2cos() = -3

r = -3 /(sin() -2cos())

Answer

(d) r = 4sin()

to convert into rectangular form

multiply with r on the both side

r²= 4rsin

r²= (x²+y2)  

rsin = y

(x²+y2) = 4y

(x²+y2) -4y = 0
Answer

(C)

r = sin + cos

multiply with r on the both side

r²= rsin + rcos

r²= x²+y²

rcos()= x

rsin() = y

x²+y² = x + y

x²+y² -x - y = 0
Answer