Polar Complex Numbers

When a complex number is drawn on the complex plane. The distance from the origin is the value of

• the argument

• The modulus

• The real co-efficient

• The imaginary co-efficient

The argument measures the angle

• clockwise from the y-axis

• anti clockwise from the y-axis

• anti clockwise from the x-axis

• clockwise from the x-axis

For the number -1+5i the argument measured in degrees would be

• between 0 and 90°

• between 0 and -90°

• between 90° and 180°

• between -90° and -180°

For the number 2-3i the argument measured in degrees would be

• between 0 and 90°

• between 0 and -90°

• between 90° and 180°

• between -90° and -180°

For the number -7-8i the argument measured in degrees would be

• between 0 and 90°

• between 0 and -90°

• between 90° and 180°

• between -90° and -180°

For the number 3+4i the argument measured in degrees would be

• between 0 and 90°

• between 0 and -90°

• between 90° and 180°

• between -90° and -180°

i⁴²=

• i

• -i

• -1

• 1

6i(a+bi)= 42+ 60i

Therefore a=

(4+6i)(a+5i)= -18+ 38i

Therefore a=