Represent the complex no. -1 in polar form
Answers
Answer:
Given a complex number we have two ways of represent it. It is possible to have:
Binomic form: given a complex number its binomic form is the most usual one, , and it is also possible to identify it with a pair of numbers given in Cartesian coordinates. This pair is and they allow us to draw in the complex plane. The procedure is as follows:
Draw the first component of the pair on the axis OX (eix real) (real axis). This is the real part of .
Draw the second component of the pair on the axis OY (imaginary axis). This is the imaginary part of .
Mark the point where the straight lines parallel to the axes OX and OY, and going through and , intersect.
Join the origin of the complex plane with this point. This is the complex number .
imagen
Polar form: The complex number written in polar form is and it is identified by the pair which are its polar coordinates. They will also allow us to draw the number in the complex plane. The procedure is:
Draw an angle that starts from the origin of the complex plane.
Take the module of , , draw it. This length is the one that determines the number in the complex plane.