Complex Numbers and Exponential Form

The video tutorial explains how to express complex numbers in exponential form. It covers plotting complex numbers on the complex coordinate plane and using reference triangles to find the modulus (R) and argument (theta) of complex numbers. The tutorial provides examples with 2I, 3 - 3I, and -4 + 3I, demonstrating how to calculate R and theta using geometric and trigonometric methods.

What is the general form of a complex number in exponential form?

• R x I raised to the power of E x Theta

• R x E raised to the power of Theta

• R x Theta raised to the power of E x I

• R x E raised to the power of I x Theta

Tags

CCSS.HSN.CN.B.4

What is the value of Theta for the complex number 2i?

• 2Pi radians

• Pi/2 radians

• Pi/4 radians

• Pi radians

Tags

CCSS.HSN.CN.B.4

How is the complex number 2i represented in exponential form?

• 2 x E raised to the power of I x 2Pi

• 2 x E raised to the power of I x Pi/4

• 2 x E raised to the power of I x Pi/2

• 2 x E raised to the power of I x Pi

Tags

CCSS.HSN.CN.B.4

What type of triangle is used to convert 3 - 3i to exponential form?

• 60/60/60 triangle

• 30/60/90 triangle

• 30/30/120 triangle

• 45/45/90 triangle

What is the hypotenuse length of the reference triangle for 3 - 3i?

• 6

• 3 square root 2

• 3

• 3 square root 3

What is the angle Theta for the complex number 3 - 3i?

• 3Pi/2 radians

• 7Pi/4 radians

• Pi radians

• Pi/2 radians

What is the reference triangle type for -4 + 3i?

• 7/24/25 triangle

• 8/15/17 triangle

• 5/12/13 triangle

• 3/4/5 triangle

What is the value of R for the complex number -4 + 3i?

• 6

• 4

• 3

• 5

Tags

CCSS.HSN.CN.B.4

Which quadrant is the angle Theta for -4 + 3i located in?

• Second quadrant

• First quadrant

• Fourth quadrant

• Third quadrant

Tags

CCSS.HSN.CN.B.4

What is the approximate value of Theta for -4 + 3i in radians?

• 1.5 radians

• 0.6435 radians

• 2.4981 radians

• 3.14 radians

Tags

CCSS.HSN.CN.B.4