convert (-2,3) to polar form written in 2 different forms?

Answer 1

lau's solution gives you one way to express it, once you find the values he describes (by taking the arc tangent of (3/-2) and calculating sqrt(3^2 + (-2)^2)).

But you asked for two forms.

For a second form, I suggest you increase (or decrease) the angle you find by 180 degrees (or pi radians, if you're working in radians), and change the sign of the radius vector (which lau calls the "modulus"). Alternatively, you can add or subtract 360 degrees (2 pi radians) and keep the sign of the radius vector the same.

Answer 2

y = x => r sin(theta) = r cos(theta) Cancel r, sin(theta) = cos(theta) => tan(theta) = a million => theta = pi/4 or 40 5 stages on account that r is canceled, r may be any fee. consequently, in polar coordinate, theta = pi/4 represents a at once line which has an perspective of pi/4 with the constructive process x-axis.

Answer 3

aTg (3/-2)=angle
Sqrt(3^2+(-2)^2)=modulus