Complex Numbers

Cartesian

100

The product of 2 and 3+4i

6+8i

200

5cis(pi/3)

2.5+5sqrt(3)/2

300

10cis(pi/4)

5sqrt(2)+5sqrt(2)i

Polar

100

2(cos(pi/10)+isin(pi/10))

2cis(pi/10)

200

Express 3+6i in polar form

6.7arg(tan^-1(1/2))

300

3-8i

sqrt(73)tan^-1(-8/3)

Argument

100

The argument of the quotient of 3+4i (numerator) and 3-4i

0

200

The argument of 2+2i

pi/4

Modulus

100

modulus of 5cis(pi/2)

5

400

The modulus of 3-7i

sqrt(70)

Complex Conjugate

100

2cis(pi/2)

2cis(-pi/2)

200

5cis(7pi/2)

5cis(-pi/2)