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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
(0)

Understanding Polynomial Functions
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Graphing Polynomial Functions
(0)

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
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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
(0)

Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
(0)

10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

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
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
(0)

Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

13. Non-Right Triangles(0)

Law of Sines
(0)

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

Geometric Vectors
(0)

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
(0)

Cross Product
(0)

15. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

16. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
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Writing Parametric Equations
(0)

17. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

18. Systems of Equations and Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

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
(0)

21. Combinatorics and Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
(0)

Finding Limits Algebraically
(0)

Continuity
(0)

23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
(0)

Limits at Infinity
(0)

Limits of Sequences
(0)

Area Under a Curve
(0)

8. Trigonometric Functions on Right Triangles

Solving Right Triangles

8. Trigonometric Functions on Right Triangles

Solving Right Triangles: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Draw a right triangle that has a side length given by the following equation.

x = 10 sin 47°

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문제 2객관식

Find the solution for the right angle triangle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Right triangle labeled with sides p, q, r and angles P, Q for solving trigonometric functions.

p = 15.7, r = 29.3

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문제 3객관식

Find the solution for the right angle in the given figure, expressing angles to the nearest tenth of a degree and rounding lengths to two decimal places.

Diagram of a right triangle labeled with angles Q, P, and sides p, q, r for solving right triangles.

Q = 7.3°, q = 9.7

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문제 4객관식

Determine the value of x rounded to the nearest integer.

Right triangle with angles 37° and 72°, height 800 units, and base x to solve for.

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문제 5객관식

Draw the graph of two periods of the function given below.

y = −4 tan (1/3)x

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문제 6객관식

Draw the graph of two periods of the function given below.

y = (1/3) cot 3x

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문제 7객관식

The length of the shadow cast by Landmark 81, a skyscraper in Vietnam, is 389.12 m. Approximate the angle of elevation of the sun to the nearest hundredth of a degree if the height of the skyscraper is 461.20 m.

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문제 8객관식

In a right triangle, one of the angles is 35 degrees. What is the measure of the other non-right angle?

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문제 9객관식

You are given a right triangle with an angle of 30 degrees and the hypotenuse of 10 units. Which trigonometric function would you use to find the length of the side opposite the 30-degree angle?

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문제 10객관식

In a right triangle, the angle opposite the side you want to find is 45 degrees, and the hypotenuse is 10 units. What is the length of the opposite side?

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문제 11객관식

A right triangle has legs of lengths 6 and 8 units. What is the length of the hypotenuse?

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문제 12객관식

In a right triangle, the lengths of the opposite and adjacent sides to angle A are 7 and 24 units, respectively. What is the measure of angle A?

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문제 13객관식

If one angle in a right triangle is 28 degrees, what is the measure of the other non-right angle?

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문제 14객관식

An angle is calculated to be 47.6 degrees. What is the angle rounded to the nearest whole number?

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문제 15객관식

A ladder is leaning against a wall, forming a right triangle with the ground. The ladder is 15 feet long and the base of the ladder is 9 feet from the wall. How high up the wall does the ladder reach?

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문제 16객관식

A right triangle has a hypotenuse of 17 units and one leg of 8 units. Find the length of the other leg and the measures of the non-right angles.

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문제 17객관식

In a right triangle, the angle opposite the side you want to find is 60 degrees, and the hypotenuse is 12 units. What is the length of the opposite side?

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문제 18객관식

In a right triangle, the lengths of the opposite and adjacent sides to angle C are 9 and 40 units, respectively. What is the measure of angle C?

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문제 19객관식

A right triangle has legs of lengths 9 and 12 units. What is the length of the hypotenuse?

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문제 20객관식

An angle is calculated to be 82.3 degrees. What is the angle rounded to the nearest whole number?

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