Complex Plane Complex Numbers

Find 
(3 + 3√3 i )⁴ 
using De Moivre's Theorem and express your answer in rectangular form.

• -648 - 648 √3 i

• -654 - 654 √3 i

• -1962 - 1962 √3 i

• 648 i

Horizontal axis represents the ___________ and the vertical axis represents the _____________ of the complex number.

• real ; real

• imaginary; real

• reactive; active

• real; imaginary

In which quadrant is the number –3 + 8i located on the complex plane?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Express the complex number in trigonometry form.
6 + 2i

• 6.32 ( cos 18.43 + i sin 18.43)

• 6.32 ( cos 71.56 + i sin 71.56)

• 1.73 ( cos 18.43 + i sin 18.43)

• 1.73 ( cos 71.56 - i sin 71.56)

• 6

• -6

• -6i

• 6i

(4 - 2i) - (3 + 6i)

• 7 - 4i

• 1 + 4i

• 1 - 8i

• 7 - 8i

What is the complex conjugate of  4-3i?

•   1/(4-3i)

• 1/(4+3i)

•   -4 + 3i

•   4 + 3i

What is the modulus for a complex number?

What is the polar form of a complex number z=x+yi?

• r(sinθ−icosθ)

• x + y

• r(cosθ + isiθ) where r=√(x^2 + y^2)

• θ(cosr + isi)

The modulus of a complex number z=3−4i is:

• 3

• 4

• 5

• √7