Contents
Trigonometry – An Overview of Important ………………………………………………………………. …….. 4
UNDERSTAND HOW ANGLES ARE MEASURED………………………………………………………………… 6
Degrees………………………………………………………………………………………………………………………… 7
Radians………………………………………………………………………………………………………………………… 7
Unit Circle……………………………………………………………………………………………………………………… 9
Practice Problems………………………………………………………………………………………………………… 10
Solutions………………………………………………………………………………………………………………………. 11
TRIGONOMETRIC FUNCTIONS……………………………………………………………………………………….. 12
Definitions of trig ratios and functions…………………………………………………………………………….. 12
Khan Academy video 2…………………………………………………………………………………………………… 14
Find the value of trig functions given an angle measure……………………………………………………. 15
Find a missing side length given an angle measure………………………………………………………….. 19
Khan Academy video 3…………………………………………………………………………………………………… 19
Find an angle measure using trig functions……………………………………………………………………… 20
Practice Problems………………………………………………………………………………………………………….. 21
Solutions……………………………………………………………………………………………………………………….. 24
USING DEFINITIONS AND FUNDAMENTAL IDENTITIES OF TRIG ………………………………………. 26
Fundamental Identities…………………………………………………………………………………………………… 26
Khan Academy video 4…………………………………………………………………………………………………… 28
Sum and Difference Formulas…………………………………………………………………………………………. 29
Khan Academy video 5……………………………………………………………………………………………………. 31
Double and Half Angle Formulas……………………………………………………………………………………… 32
Khan Academy video 6……………………………………………………………………………………………………. 34
Product to Sum Formulas……………………………………………………………………………………………….. 35
Sum to Product Formulas……………………………………………………………………………………………….. 36
Law of Sines and Cosines……………………………………………………………………………………………….. 37
Practice Problems………………………………………………………………………………………………………….. 39
Solutions……………………………………………………………………………………………………………………….. 42
UNDERSTAND KEY FEATURES OF GRAPHS OF TRIG FUNCTIONS…………………………………….. 43
Graph of the sine function (𝒚 = 𝒔𝒊𝒏 𝒙)……………………………………………………………………………… 44
Graph of the cosine function (𝒚 = 𝒄𝒐𝒔 𝒙)………………………………………………………………………….. 45
Key features of the sine and cosine function……………………………………………………………………. 46
Khan Academy video 7……………………………………………………………………………………………………. 51
Graph of the tangent function (𝒚 = 𝒕𝒂𝒏 𝒙)………………………………………………………………………… 52
Key features of the tangent function………………………………………………………………………………… 53
Khan Academy video 8……………………………………………………………………………………………………. 56
Graphing Trigonometric Functions using Technology………………………………………… …………….. 57
Practice Problems………………………………………………………………………………………………………….. 60
