Question

@jim_thompson5910

Answer 1

Okay so the first one isisisis

Find the rectangular coordinates of the point with the polar coordinates

\[(-3,\frac{ 5\Pi }{ 3 })\]

Answer 2

The basic polar point is this

(r, theta)

r is the radius
theta is the angle

Answer 3

r is the distance from the origin (ie the pole) to the terminal point of the segment

Answer 4

Draw in the following segments to make a right triangle (r is the hypotenuse)

Answer 5

the legs of this right triangle are exactly the x,y components of the endpoint



that means the vertical leg is y
the horizontal leg is x