Interval Notation
1 hr 8 min 14 Examples
- Intro to Video: Interval Notation and Relations and Functions
- Lesson Overview and Review of Pythagorean Theorem and Distance Formula
- Example: Calculate the distance between two points
- What is a Relation? How do we determine Domain and Range?
- How can we describe a function?
- Overview of Interval Notation with Examples
- Interval Notation: 6 examples
- Interval Notation: 4 examples
- Examples: #1-5: Give the Domain and Range and tell whether it is a function
Coterminal Angles
58 min 25 Examples
- Intro to Video: Coterminal Angles and Angles and the Coordinate Plane
- Overview of Angles and Their Measure
- Standard Position and Coterminal Angles
- Examples: #1-4: Sketch each angle in standard position and determine degree measure
- Examples: #5-10: Sketch each angle in standard position and determine Quadrant in which is lies
- Three Examples – Given an angle in standard position, find a coterminal angle and sketch
- Two Examples – Given an angle in standard position find two coterminal angles
- Examples: #1-6: Determine the Quadrant(s) for each angle
- Four Examples – Find a coterminal angle within a specified domain
Reference Triangles
1 hr 23 min 18 Examples
- Intro to Video: Reference Triangles and Sine, Cosine, and Tangent
- Overview of Reference Triangles, Reference Angles, and SOH-CAH-TOA
- Theorem for Reference Triangles and Trigonometric Functions with Examples
- Two Examples – Given the terminal side of an angle passing through a point, sketch the reference triangle and evaluate sine, cosine, and tangent
- Example – Given the terminal side of an angle passing through a point, sketch the reference triangle and evaluate sine, cosine, and tangent
- Examples #1-4: Given one trigonometric value and terminal quadrant, find the other trigonometric functions
- What have we discovered about the trigonometric values and quadrants? Fun saying!
- Ten Examples – State the Quadrant(s) in which the angle lies
Reference Angles
1 hr 24 min 17 Examples
- Intro to Video: Reference Angles and Cosecant, Secant, and Cotangent
- Overview of Reference Angles and How to find Them
- Examples #1-10: Find the Measure of the Reference Angle and Sketch
- The Six Trigonometric Functions
- Two Examples – Sketch the Angle and Evaluate all Six Trig Functions
- Example – Sketch the Angle and Evaluate all Six Trig Functions
- Example – Given the Measure of an Angle in a quadrant, evaluate the other 5 Trig Functions
- Two Examples – Given the Measure of an Angle in a quadrant, evaluate the other 5 Trig Functions
- Three Examples: State the Quadrant(s) in which the angle lies
- Example – Express each function in terms of the same function of the reference angle
Cofunctions
36 min 7 Examples
- Intro to Video: Cofunctions and Complementary and Supplementary Angles
- Overview and Four Examples of Complementary and Supplementary Angles
- Overview of Cofunctions
- Example #1-3 – Express each function in terms of the same function of the Reference Angle
Degrees Minutes Seconds
29 min 9 Examples
- Intro to Video: Degrees Minutes Seconds
- Overview of Degrees Minutes Seconds (DMS)
- Steps for Converting from DMS to Decimal Degree
- Three Examples: Convert each angle from Degrees Minutes Seconds into Decimal Degree
- Steps for Converting from Decimal Degree to Degrees Minutes Seconds
- Two Examples: Convert each angle from Decimal Degree to Degrees Minutes Seconds
- Examples #1-4: Calculating with Degrees Minutes Seconds
Angles of Elevation and Depression
57 min 5 Examples
- Intro to Video: Angle of Elevation and Depression
- Overview of Angle of Elevation and Depression
- Example: Angle of Elevation from a Radar Antenna to an Airplane
- Example: Angle of Depression from a Lighthouse to a Buoy
- Surveying Example: Find the Distance Across a Lake
- Example: Angle of Elevation & Depression to determine height of building
- Example: Angle of Depression to find the distance between two boats
Applications of Right Triangles
43 min 5 Examples
- Intro to Video: Applications of Right Triangles – Navigation and Construction
- Overview of Navigation and Important Terminology
- Example: Determine the Bearing of a lighthouse from a ship
- Example: Find the distance given a course and bearing
- Overview of Construction and Important Terminology
- Example: Find the Pitch of a Symmetrical Roof given the Rise and Span
- Example: Find the Rise of a Symmetrical Roof given the Pitch and Span
- Example: Find the length of the collar beam of a roof given the Pitch
Chapter Test
1 hr 19 min 20 Examples
- Examples #1-2: Find the distance between points P and Q
- Examples #3-4: Find the domain and range, and determine if a function
- Examples #5-6: For each rotation, find the measure in degrees and sketch the angle
- Examples #7-10: Convert to Decimal Degree or Degrees-Minutes-Seconds
- Examples #11-12: Find all six trig values given a point on the terminal side of an angle
- Examples #13-14: Find the 5 other trig functions given the angle in standard position
- Examples #15-16: Express each angle in terms of the reference angle
- Example #17: Angle of Depression determine line of sight
- Example #18: Angle of Elevation determine hight of cliff
- Example #19: Find the bearing
- Example #20: Determine rafter length given the span
