Trig/Polar and Rectangular/Standard form of Complex Numbers

Simplify:
(3 + 2i) + (4i + 6)

• 9 + 6i
• 7i + 8
• 9 + 6i²
• 9 - 6i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify:
(4 + 7i) - (3 + 2i)

• 1 + 5i
• 7 + 9i
• 1 + 9i
• -1 + 5i

Tags

CCSS.HSN.CN.A.2

Simplify:
-3i(4 + 2i)

• 6 - 12i
• 6 + 12i
• -12i - 6i²
• -12i + 6i²

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify:
(2 - 3i)(5 + 4i)

• 22 - 7i
• 22 + 7i
• 22 - 7i²
• 22 + 7i²

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

What is the complex conjugate of  4-3i?

• A.  1/(4-3i)
• B. 1/(4+3i)
• C.  -4 + 3i
• D.  4 + 3i

Tags

CCSS.HSN.CN.A.3

What is the simplified form of the above?

• 7/10 + 11/10 i

• 13/10 +1/10 i

• 5/4 - 3/2i

• 7/10 - 11/10 i

Tags

CCSS.HSN.CN.A.3

Simplify

• (-10+6i)/17

• (1+50i)/61

• (-23+36i)/25

• (-21+33i)/34

Tags

CCSS.HSN.CN.A.3

Find the polar coordinates of the rectangular point. (0,3)

• (3,π)
• (3,0)
• (3,π/2)
• (3,-3π/2)

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

Convert the rectangular coordinates to polar coordinates
(6√3, 6)

• (12, π/6)
• (6, 7π/6)
• (6, π/6)
• (12, 7π/6)

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

CCSS.HSN.CN.B.4

How do you write an ordered pair in polar coordinates?

• (X, Y)

• (θ, r)

• (r,θ)

• (Y_Y)

Tags

CCSS.5.G.A.1