Polar Complex Numbers

The rectangular form of the complex number 12(cos315^o + i sin315^o) is...

• 6√2 + 6√2 i

• 6√2 - 6√2 i

• -6√2 + 6√2 i

• -6√2 - 6√2 i

Tags

CCSS.HSN.CN.B.4

Let w=-√3/2 + 1/2 i calculate the modulus and argument.

• 3, 120^o

• 5, 270^o

• 1, 150^o

• Not Possible

Tags

CCSS.HSN.CN.B.4

Convert the polar equation to rectangular form

• x = 2 cos θ

• x = 2

• y = 2

• x² + y² = 2

Tags

CCSS.HSN.CN.B.4

Convert the polar coordinates to rectangular form

• ( -3, 3)

• (3, 3√3)

• (-3, 3√3)

• (3, -3√3)

Tags

CCSS.HSN.CN.B.4

Tags

CCSS.HSN.CN.B.4

Find zw. Leave your answer in polar form.
z=2(cos40 + isin40)
w=4(cos20 + isin20)

• 8(cos60 + isin60)

• -8(cos20 - isin20)

• 6(sin60 + icos60)

• -4(cos20 +isin20)

Tags

CCSS.HSN.CN.B.4

Find zw. Leave your answer in polar form.
z=cos120 +isin120
w=cos100 +isin100

• cos220 + isin220

• cos20 + isin20

• sin220 + icos220

• -cos220 - isin20

Tags

CCSS.HSN.CN.B.4

Find z/w. Leave your answer in polar form.
z=2(cos40 + isin40)
w=4(cos20 + isin20)

• 1/2 (cos20 + isin20)

• 1/4 (cos20 + isin20)

• 8(cos60 - isin60)

• 2(sin20 + isin60)

Tags

CCSS.HSN.CN.B.4

Find z/w. Leave your answer in polar form.
z=cos120 +isin120
w=cos100 +isin100

• cos20 +isin20

• cos220 + isin220

• cos20 -isin20

• 2(cos220 +isin220)

Tags

CCSS.HSN.CN.B.4

Write the expression in the standard form a + bi.
[4(cos40 +isin40)]³

• -32 + 32√3i

• 32 - 32√3i

• 16√i +16

• 4 + 4√i

Tags

CCSS.HSN.CN.B.4