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0. Fundamental Concepts of Algebra(0)

Algebraic Expressions
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Exponents
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Polynomials Intro
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Multiplying Polynomials
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Factoring Polynomials
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Radical Expressions
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Simplifying Radical Expressions
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Rationalize Denominator
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Rational Exponents
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Pythagorean Theorem & Basics of Triangles
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1. Equations and Inequalities(0)

Linear Equations
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Rational Equations
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The Imaginary Unit
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Powers of i
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Complex Numbers
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Intro to Quadratic Equations
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The Square Root Property
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Completing the Square
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The Quadratic Formula
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Choosing a Method to Solve Quadratics
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Linear Inequalities
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2. Graphs(0)

Graphs and Coordinates
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Two-Variable Equations
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Lines
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3. Functions & Graphs(0)

Intro to Functions & Their Graphs
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Common Functions
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Transformations
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Function Operations
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Function Composition
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4. Polynomial Functions(0)

Quadratic Functions
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Understanding Polynomial Functions
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Graphing Polynomial Functions
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5. Rational Functions(0)

Introduction to Rational Functions
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Asymptotes
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Graphing Rational Functions
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6. Exponential and Logarithmic Functions(0)

Introduction to Exponential Functions
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Graphing Exponential Functions
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The Number e
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Introduction to Logarithms
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Graphing Logarithmic Functions
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Properties of Logarithms
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Solving Exponential and Logarithmic Equations
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7. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
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Complementary and Supplementary Angles
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Radians
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8. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
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Special Right Triangles
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Cofunctions of Complementary Angles
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Solving Right Triangles
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9. Unit Circle(0)

Defining the Unit Circle
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Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
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Reference Angles
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Reciprocal Trigonometric Functions on the Unit Circle
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10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
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Phase Shifts
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Graphs of Secant and Cosecant Functions
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Graphs of Tangent and Cotangent Functions
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11. Inverse Trigonometric Functions and Basic Trig Equations(0)

Inverse Sine, Cosine, & Tangent
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Evaluate Composite Trig Functions
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Linear Trigonometric Equations
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12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
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Sum and Difference Identities
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Double Angle Identities
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Solving Trigonometric Equations Using Identities
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13. Non-Right Triangles(0)

Law of Sines
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Law of Cosines
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Area of SAS & ASA Triangles
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14. Vectors(0)

Geometric Vectors
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Vectors in Component Form
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Direction of a Vector
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Unit Vectors and i & j Notation
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Dot Product
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Cross Product
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15. Polar Equations(0)

Polar Coordinate System
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Convert Points Between Polar and Rectangular Coordinates
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Convert Equations Between Polar and Rectangular Forms
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Graphing Other Common Polar Equations
(0)

16. Parametric Equations(0)

Graphing Parametric Equations
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Eliminate the Parameter
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Writing Parametric Equations
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17. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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18. Systems of Equations and Matrices(0)

Two Variable Systems of Linear Equations
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Introduction to Matrices
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Determinants and Cramer's Rule
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Graphing Systems of Inequalities
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19. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Parabolas
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Hyperbolas at the Origin
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Hyperbolas NOT at the Origin
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20. Sequences, Series & Induction(0)

Sequences
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Arithmetic Sequences
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Geometric Sequences
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21. Combinatorics and Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
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Finding Limits Algebraically
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Continuity
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23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
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Limits at Infinity
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Limits of Sequences
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Area Under a Curve
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7. Measuring Angles

Angles in Standard Position

7. Measuring Angles

Angles in Standard Position: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Evaluate the following expression by using a calculator:

2 sin (31° 53') cos (31° 53') - sin (63° 46')

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문제 2객관식

Convert the following angle to degrees, minutes, and seconds. Round the answer to the nearest second, when necessary.

162.245°

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문제 3객관식

Determine two angles, between -2π and 2π, where the terminal side of each angle passes through the origin and point Y. Express your answer in radians.

Unit circle showing point Y and axes for measuring angles in radians.

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문제 4객관식

Sketch the given angle. Note that the angle should be in standard position:

-105°

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문제 5객관식

Determine the least positive angle that is coterminal with the given angle.

583°

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문제 6객관식

For the following angle, solve for the degree measure of its complement and supplement.

8°

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문제 7객관식

Plot the given angle in the standard position and represent the rotations using an arrow. State the quadrant of the angle. Also, find a positive and a negative coterminal angle with the given angle.

-44°

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문제 8객관식

Calculate the number of degrees that a point on the edge of the blade of a large exhaust fan will rotate in 1.8 seconds if it is rotating at 700 times per min.

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문제 9객관식

Evaluate the following expression by using a calculator:

sin 27° cos 63° + cos 27° sin 63°

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문제 10객관식

While surveying land, the whole circle bearing of a ranging rod was taken by two observers. The first observer reports the WCB as 35.75°, and the second observer reports the WCB as 35°40'. Find the difference between these bearings. Report the answer in the nearest hundredth of a degree and nearest minute.

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문제 11객관식

What is the definition of an angle?

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문제 12객관식

How are angles measured on the x-y coordinate system?

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문제 13객관식

Which of the following angles is in standard position?

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