Trig Form of Complex Numbers

Write the complex number in polar form (a)  

• √50 (cos π/2 + i sin π/2)
• 50 (cos π/4 + i sin π/4)
• √50 (cos 5π/4 + i sin 5π/4)
• √50 (cos π/4 + i sin π/4)

Express the point in polar form in rectangular form.4 ( cos π /3 + i sin π /3) (a)  

• 2 + 2√3 i
• 2 + √3 i
• 2 - 2√3 i
• -2 + 2√3 i

Find the indicated power using DeMoivre's Theorem  (a)  

• 72 - 72√3i
• - 72√3 + 72i
• - 72√2 + 72√2i
• -72 + 72√3i

Find

5(cos 2π /3 + i sin 2π /3)⋅2( cos π /3 + i sin π /3)

in trig form. Then express your final answer in rectangular form.

Mathematical Equivalence

ON

If z = 2(cos(20^o) + isin(20^o)) and w = 3(cos(105^o) + isin(105^o)), find z / w. Choose all that apply.

• 2/3(cos(225^o) + isin(225^o))

• 2/3(cos(275^o) + isin(275^o))

• 3/2(cos(85^o) + isin(85^o))

• 6(cos(125^o) + isin(125^o))

Tags

CCSS.HSN.CN.B.4

Find the absolute value of the complex number. Also state what quadrant the point would land in.2 + 3i (a)  

• √13,  Quadrant 1
• √5,  Quadrant 1
• √11, Quadrant 2
• √11, Quadrant 3

Express the complex number in trigonometric (polar) form.

-2 + 5i

Mathematical Equivalence

ON

What quadrant would the point in trigonometric (polar) form land in? 4 ( cos π /3 + i sin π /3)

• Quadrant 4
• Quadrant 1
• Quadrant 2
• Quadrant 3

Tags

CCSS.HSN.CN.B.4