Worksheet 7.5 DeMoivre's Theorem and Complex Numbers
For this DeMoivre's Theorem and complex numbers worksheet, students change complex numbers to real numbers. They determine square roots of complex numbers and represent them geometrically. This two-page worksheet contains eight problems.
10th - 12th Math 3 Views 13 Downloads
Saxon Math: Algebra 2 (Section 7)
Section seven of twelve turns the mathematical eye toward higher-level concepts. From radians in the unit circle to the complex number system, logarithms to advanced factoring methods, this lesson—just past the halfway point in the...
9th - 12th Math CCSS: Adaptable
Combining Square Roots with Addition and Subtraction
Familiarize young mathematicians with the radical concept of square roots using this set of skills practice problems. Building on prior knowledge about combining like terms in algebraic expressions, this instructional activity helps...
7th - 10th Math CCSS: Adaptable
Complex Numbers in Polar Form; DeMoivre’s Theorem
The iconic links between trig functions and complex numbers are introduced in a lesson on the basic properties of complex numbers in polar form. Quickly progressing through the polarization of complex coordinates, a bulk of the worksheet...
10th - 12th Math CCSS: Adaptable
Imaginary Numbers Are Real (Part 5: Numbers are Two Dimensional)
If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real numbers —...
5 mins 9th - 12th Math CCSS: Adaptable
Exponential Form to Find Complex Roots
Sal solves the problem x^3 = 1 for all of the real and complex roots using the exponential form of the complex number. He shows how the roots found in exponential form are the same as those in a more traditional form of a complex number...
12 mins 10th - 12th Math
Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the lesson, learners verify the Pythagorean theorem with a hands-on proof. Then, pupils use the theorem to determine whether three side lengths could form a right triangle and choose one of two real-life situations...
8th - 12th Math CCSS: Designed