The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form.

Question

Let t = theta

(1) r = sin(t) + 1

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

Answer 1

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

Answer 2

(3,2n/5)