Home > PC > Chapter 11 > Lesson 11.2.1 > Problem 11-70
Find the polar form of the complex number given below. Approximate your values to three decimal places. (Remember to figure out the correct quadrant of the complex number when you find the value for
Graph the point.
Point labeled, a, in fourth quadrant at (3, comma negative 4).
Draw a right triangle with the
Segments added connecting point to origin, & to (3, comma 0), and from origin to (3, comma 0, area inside triangle shaded.
' is the length of the hypotenuse of the triangle. Calculate ' ' by using the Pythagorean theorem.
Label added to hypotenuse, r.
Use trigonometry to find the angle marked
Label added to angle opposite vertical leg, alpha.
Use the measure of angle
to find .
Curved counter clockwise arrow, from positive x axis to hypotenuse, labeled theta.