CK-12-Pre-Calculus Concepts

10.5. Applications of Parametric Equations http://www.ck12.org Practice Candice gets on a Ferris wheel at its lowest point, 3 fe ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations equations allow you to more easily represent circles and spirals ...

10.6. References http://www.ck12.org 10.6 References CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK ...

http://www.ck12.org Chapter 11. Complex Numbers CHAPTER 11 Complex Numbers Chapter Outline 11.1 Fundamental Theorem of Algebra 1 ...

11.1. Fundamental Theorem of Algebra http://www.ck12.org 11.1 Fundamental Theorem of Algebra Here you will state the connection ...

http://www.ck12.org Chapter 11. Complex Numbers Keep in mind that all polynomials can be written in factorized form like the ab ...

11.1. Fundamental Theorem of Algebra http://www.ck12.org Concept Problem Revisited When a parabola fails to cross thexaxis it st ...

http://www.ck12.org Chapter 11. Complex Numbers 1, -3 (with multiplicity 3),− 1 , √ 3 i,− √ 3 i 5 (with multiplicity 2), -1 ( ...

11.2. Arithmetic with Complex Numbers http://www.ck12.org 11.2 Arithmetic with Complex Numbers Here you will add, subtract, mult ...

http://www.ck12.org Chapter 11. Complex Numbers The absolute value of a complex number like| 4 + 3 i|is defined as the distance ...

11.2. Arithmetic with Complex Numbers http://www.ck12.org Example C Simplify the following complex expression. (^74) −− (^93) ii ...

http://www.ck12.org Chapter 11. Complex Numbers Guided Practice Simplify the following complex number. i^2013 Plot the followin ...

11.2. Arithmetic with Complex Numbers http://www.ck12.org Practice Simplify the following complex numbers. 1.i^252 2.i^312 3.i^4 ...

http://www.ck12.org Chapter 11. Complex Numbers 11.3 Trigonometric Polar Form of Complex Numbers Here you will use basic right t ...

11.3. Trigonometric Polar Form of Complex Numbers http://www.ck12.org r(cosθ+i·sinθ)→r·cisθ The abbreviationr·cisθis read as “rk ...

http://www.ck12.org Chapter 11. Complex Numbers Vocabulary Trigonometric polar formof a complex number describes the location of ...

11.3. Trigonometric Polar Form of Complex Numbers http://www.ck12.org 15 cisπ 4 ·2 cisπ 6 13.−2 cis^23 π÷15 cis^76 π Letz 1 =r ...

http://www.ck12.org Chapter 11. Complex Numbers 11.4 De Moivre’s Theorem and nth Roots Here you will learn about De Moivre’s The ...

11.4. De Moivre’s Theorem and nth Roots http://www.ck12.org You can see at this point that to findsyou need to take thenthroot o ...

http://www.ck12.org Chapter 11. Complex Numbers The three points are equally spaced around a circle of radius 2. Only one of the ...