Trigonometry (A Challenge Option)
Goal
Trigonometry in Math 4 / Calculus is a challenge option (required for Honors students) that reviews the basics of trigonometry and then introduces trigonometry that will be seen in college classes. The trigonometry that is reviewed/learned here is incorporated into the main class through challenge options on handouts, assignments and homework.
Handouts
| No. | Title | Handout | Annotated Handout |
Video |
|---|---|---|---|---|
| #1 | Equation of a Circle | mp4 | ||
| #2 | The Unit Circle and Angles | mp4 | ||
| #3 | Points on the Unit Circle: θ = 45° | mp4 | ||
| #4 | Points on the Unit Circle: θ = 30° | mp4 | ||
| #5 | Points on the Unit Circle: θ = 60° | mp4 | ||
| #6 | The Complete Unit Circle | mp4 | ||
| #7 | The Definition of Cosine | mp4 | ||
| #8 | The Definition of Sine | mp4 | ||
| #9 | Introduction to Obtaining Missing Side Lengths | mp4 | ||
| #10 | Pythagorean Identities, Part I | mp4 | ||
| #11 | The Definition of the Tangent Function | mp4 | ||
| #12 | The Unit Circle for Tangents | mp4 | ||
| #13 | SOH, CAH ,TOA | mp4 | ||
| #14 | The Law of Sines | mp4 | ||
| #15 | The Law of Cosines | mp4 | ||
| #16 | Radians | mp4 | ||
| #17 | The Unit Circle with Radians | mp4 | ||
| #18 | The Graph of cos(θ) | mp4 | ||
| #19 | The Graph of sin(θ) | mp4 | ||
| #20 | The Graph of tan(θ) | mp4 | ||
| #21 | Parity Identities (Odd and Even Functions) I | mp4 | ||
| #22 | Parity Identities (Odd and Even Functions) II | mp4 | ||
| #23 | Parity Identities (Odd and Even Functions) III | mp4 | ||
| #24 | Inverse Functions: Arccosine | mp4 | ||
| #25 | Inverse Functions: Arcsine | mp4 | ||
| #26 | Inverse Functions: Arctangent | mp4 | ||
| #27 | Sin and Cos: Amplitude | mp4 | ||
| #28 | Sin and Cos: Period | mp4 | ||
| #29 | Sin and Cos: Frequency | mp4 | ||
| #30 | Sin and Cos: Phase Shift | mp4 | ||
| #31 | Sin and Cos: Vertical Shift | mp4 | ||
| #32 | Reciprocal Identities: Secant | mp4 | ||
| #33 | Reciprocal Identities: Cotangent | mp4 | ||
| #34 | Reciprocal Identities: Cosecant | mp4 | ||
| #35 | Pythagorean Identities, Part II | mp4 | ||
| #36 | Sum Formulas, Part I | mp4 | ||
| #37 | Sum Formulas, Part II | mp4 | ||
| #38 | Difference Formulas | mp4 | ||
| #39 | Double-Angle and Half-Angle Formulas | mp4 | ||
| #40 | Product-to-Sum Formulas | mp4 |
Assignments
Note: Answers are posted shortly after the handout is assigned. Solutions are posted after the submission deadline.
| No. | Handout | Answers | Solutions | Scope |
|---|---|---|---|---|
| #1 | Circle Geometry Review | |||
| #2 | The Pythagorean Theorem Review and Trigonometry 1: Equation of a Circle | |||
| #3 | Up to Trigonometry 9: Introduction to Obtaining Missing Side Lengths | |||
| #4 | Up to Trigonometry 13: SOH, CAH, TOA | |||
| #5 | Up to Trigonometry 17: The Unit Circle with Radians | |||
| #6 | Up to Trigonometry 26: Inverse Functions: Arctangent | |||
| #7 | Up to Trigonometry 26: Inverse Functions: Arctangent | |||
| #8 | Up to Trigonometry 31: Sin and Cos: Vertical Shift | |||
| #9 | Up to Trigonometry 40: Product-to-Sum Formulas |