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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
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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
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13. Non-Right Triangles

Law of Cosines

13. Non-Right Triangles

Law of Cosines: 동영상 및 연습문제

비디오 강의 실무 워크시트

13 문제점

문제 1객관식

Find the missing side length and angles of the triangle. Express the lengths to one decimal place and the angle to the nearest degree.

p = 7, r = 3, Q = 40°

문제 2객관식

Find the solution for the following triangle given the measurement of one angle and two sides. If there is no possible triangle, indicate "no triangle," and if two triangles exist, solve each one. Round the resulting angle and side measurements to one decimal place.

C = 71°, a = 19, b = 9

문제 3객관식

Find the missing side length and angles of the triangle. Express the length to one decimal place and the angle to the nearest degree.

q = 6, r = 2, P = 38°

문제 4객관식

Let a triangle be labeled as PQR.

For the given measurements, find out if SAA, SAS, ASA, SSA, or SSS is given. Also, state the law which is suitable for solving the triangle.

p, q, and R

문제 5객관식

Find the missing measurements of the triangle.

Triangle with sides labeled 7, 11, and 7, angles P, Q, R for Law of Cosines exercise.

문제 6객관식

A pilot, flying a jet at an airspeed of 400 km/h, wants to fly maintaining a bearing of 307°. Determine the direction in which he should fly if the wind is blowing at 50 km/h on a bearing 220°. Also, find out the ground speed.

문제 7객관식

Determine the area of the triangle PQR.

p = 88.4 cm, q = 123 cm, r = 64.8 cm

문제 8객관식

Which of the following scenarios requires the use of the Law of Cosines instead of the Law of Sines?

문제 9객관식

Which formula represents the Law of Cosines for finding side c?

문제 10객관식

Why is it preferable to use the inverse cosine function over the inverse sine function when solving for angles in a triangle using the Law of Cosines?

문제 11객관식

When solving for side c in a triangle with sides a = 8, b = 6, and angle C = 45 degrees, why is it important to maintain exact values during calculations?

문제 12객관식

Which type of triangle cannot be solved using the Law of Sines?

문제 13객관식

Calculate the length of side c in a triangle with sides a = 6, b = 8, and angle C = 90 degrees using the Law of Cosines.