Complex Number Forms Quiz

What is the cartesian form of a complex number?

• a - bi

• a * bi

• a / bi

• a + bi

Express the complex number 3 + 4i in polar form.

• 6∠60°

• 2∠30°

• 5∠53.13°

• 7∠45°

What is the exponential form of a complex number?

• re^(iθ)

• r^(iθ)

• r^θ

• r^iθ

Convert the complex number -2 - 2i to polar form.

• -2√2 ∠ -135°

• 2√2 ∠ -135°

• 2√2 ∠ 135°

• 2√2 ∠ 45°

What is the trigonometric form of a complex number?

• Exponential form

• Polar form

• Rectangular form

• Quadratic form

Find the cis form of the complex number 5(cos(π/3) + isin(π/3)).

• 5(cos(π/3) + isin(π/6))

• 5(cos(π/3) - isin(π/3))

• 5cis(π/3)

• 5cos(π/3) + 5isin(π/3)

Convert the complex number 6(cos(π/4) + isin(π/4)) to polar form.

• 3.5355 + 3.5355i

• 6(cos(π/4) + isin(π/4))

• 12(cos(π/4) + isin(π/4))

• 2(cos(π/4) + isin(π/4))

What is the modulus-argument form of a complex number?

• r(cosθ - sinθ)

• r(cosθ - i sinθ)

• r(cosθ + i sinθ)

• r(cosθ + sinθ)

Determine the modulus-argument form of the complex number -8 - 8i.

• 10∠90°

• 8∠-45°

• 16∠45°

• 16∠-135°

Find the cis form of the complex number 4(cos(π/6) + isin(π/6)).

• 4(cos(π/6) + isin(π/3))

• 4(cos(π/6) - isin(π/6))

• 4cis(π/6)

• 4cos(π/6) + 4isin(π/6)