Download Trig Final – ideas overview

FST
Trigonometry Final Exam Study Guide
Topic
Know all special angles in radians and
degrees on the unit circle
For each of the special angles, know the
following:
sin 
cos 
tan 
csc 
sec 
cot 
Know domains and be able to identify
the special angles for the following
inverse functions:
sin 1 
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Sample Questions
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cos 1 
tan 1 
Find the length of an arc in radians
Find the area of a sector in radians
Know what tan  , cot  , csc  ,sec  are
equal to in terms of sine and cosine.
Know how to sketch one period of the
following:
sin 
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Pg. 242 #2, 3
Pg. 242 #1, 4
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See Notes
cos 
tan 
csc 
sec 
cot 
Be able to solve problems with any of
the three Pythagorean Identities.
Know the signs of any of the six basic
trig functions in each quadrant of the
unit circle.
Know how the coordinates of the six
basic trig functions in quadrant I are
related to quadrants II, III, and IV. (i.e.
Opposites Theorem, Supplements
Theorem, Complements Theorem, HalfTurn Theorem)
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LM13-1 #9, 10, 11
LM 4-4 #2
Pg. 255 #12
See Unit Circle
See Chapter 4 Quiz 4.4-4.6
Pg. 255 #5-10
FST
Trigonometry Final Exam Study Guide
Topic
Know how to apply the GraphStandardization Theorem (pg. 286)
Know the periods of each of the six basic
trig functions
Know how to find the amplitude, period,
phase shift, and vertical shift for sine,
cosine and tangent.
Know how to use and apply the right
triangle trigonometric ratios for the six
basic trig functions.
opp
sin  
hyp
adj
cos  
hyp
opp
tan  
adj
hyp
csc  
opp
hyp
s e c 
adj
adj
cot  
opp
Know how to use and apply the
following Theorems:
 Law of Cosines
 Law of Sines
 Addition Formulas for Sine and
Cosine
 Difference Formulas for Sine and
Cosine
 Double Angle Formulas for Sine
and Cosine
Be able to solve trigonometric equations
with any of the six basic trig functions.
Be able to prove trigonometric identities
using any of the six basic trig functions.
Know how to simplify trigonometric
expressions that involve the inverse trig
functions
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Sample Questions
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Pg. 304 #52, 53
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See Notes
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Pg. 304 #46-51
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Pg. 364 #1 plus find csc ,
sec , cot 
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Pg. 304 #42, 43
Pg. 750 # 20, 22, 23, 25-27
Pg. 364 # 17-20
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Pg. 365 #29-28
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Pg. 864 27-30
Pg. 864 37, 38 plus do a
proof if you find one is an
identity.
YARF Quizzes!
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