Polar to Rectangular Form
posted by sharkman .
The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form.
Let t = theta
(1) r = sin(t) + 1
(2) r = sin(t) - cos(t)
Where you not given, or does your text not have formulas for changing from polar to rectangular????
I will do the first one
r^2 = x^2 + y^2 and sin(theta) = y/r
so you have
√(x^2+y^2) = y/√(x^2+y^2) + 1
multiply each term by √(x^2+y^2)
x^2+y^2 = y + √(x^2+y^2)
try the second one yourself, cos(t) = x/r