# 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 |