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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
(0)

Lines
(0)

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
(0)

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
(0)

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
(0)

Properties of Logarithms
(0)

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
(0)

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
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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
(0)

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
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Combinatorics
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Probability
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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
(0)

9. Unit Circle

Reference Angles

9. Unit Circle

Reference Angles: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Determine the exact value of the following expression without the help of the calculator. Write your answer as a single fraction.

sin (3π/2) cos (π/3) - cos (π/6) sin (3π/4)

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문제 2객관식

Determine the exact value of the following expression without the help of the calculator.

csc -5π/6

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문제 3객관식

Determine the exact value of the following expression without the help of the calculator.

tan 240°

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문제 4객관식

Calculate the measurement of the reference angle for 343°.

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문제 5객관식

Calculate the measurement of the reference angle for 541°.

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문제 6객관식

Determine the exact value of the following expression without the help of the calculator.

tan 150°

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문제 7객관식

List the six trigonometric function values of the following angle. Provide exact values. When necessary, rationalize the denominator.

1290°

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문제 8객관식

Evaluate the following trigonometric expression:

7 tan 45° + 2 cos 60° - cot² 225°

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문제 9객관식

What is the reference angle for an angle measuring 210 degrees?

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문제 10객관식

How do you calculate the reference angle for an angle of 135 degrees?

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문제 11객관식

If the reference angle for 240 degrees is 60 degrees, what is the sine of 240 degrees?

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문제 12객관식

Which trigonometric function is positive in quadrant 3?

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문제 13객관식

What does the mnemonic ASTC stand for in trigonometry?

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문제 14객관식

Which of the following angles is coterminal with 45 degrees?

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문제 15객관식

What is a coterminal angle for -30 degrees?

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문제 16객관식

If an angle of 720 degrees is coterminal with an angle on the unit circle, what is the sine of this angle?

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문제 17객관식

Using the unit circle, find the cosine of 11π/6.

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문제 18객관식

Which denominator is common for angles with a reference angle of 45 degrees in radians?

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문제 19객관식

What is the reference angle for an angle measuring 330 degrees?

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문제 20객관식

How do you calculate the reference angle for an angle of 225 degrees?

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Common Values of Sine, Cosine, & Tangent 연습문제 Reciprocal Trigonometric Functions on the Unit Circle 연습문제

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