Page 2 - Ebook Trigonometri_Krisna Hasugian_MESP 2019
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Contents
Trigonometry – An Overview of Important Topics .................................................................................... 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
Learning video 1 ............................................................................................................................ 14
Find the value of trig functions given an angle measure ..................................................................... 15
Find a missing side length given an angle measure ............................................................................. 19
Learning video 2 ............................................................................................................................ 19
Find an angle measure using trig functions ........................................................................................ 20
Practice Problems .......................................................................................................................... 21
Solutions........................................................................................................................................ 24
USING DEFINITIONS AND FUNDAMENTAL IDENTITIES OF TRIG FUNCTIONS ........................................... 26
Fundamental Identities ...................................................................................................................... 26
Learning video 3 ............................................................................................................................ 28
Sum and Difference Formulas ............................................................................................................ 29
Learning video 4 ............................................................................................................................ 31
Double and Half Angle Formulas ........................................................................................................ 32
Learning video 5 ............................................................................................................................ 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 ( = ) ............................................................................................ 44
Graph of the cosine function ( = ) ........................................................................................ 45
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