Question

PLEASE HELP!!!!!!!!!!!!!! I attached the problem inside

Answer 1

To convert any point of the form (r, theta) to cartesian form (x,y), you use these formulas

x = r*cos(theta)
y = r*sin(theta)

Answer 2

in this case,

r = -3
theta = 17pi/4

so this means that

x = r*cos(theta)

x = -3*cos(17pi/4)

x = -3*(sqrt(2)/2) ... use the unit circle here

x = -3sqrt(2)/2


and


y = r*sin(theta)

y = -3*sin(17pi/4)

y = -3*(sqrt(2)/2) ... again, use the unit circle here

y = -3sqrt(2)/2

Answer 3

so the point (-3, 17pi/4) in polar form turns into the point

\[\large \left(-\frac{3\sqrt{2}}{2},-\frac{3\sqrt{2}}{2}\right)\]

which is now in cartesian form