FST

Trigonometry Final Exam Study Guide

Topic / No Calculator / Calculator / In the notes/work on the blog, and…
Know all special angles in radians and degrees on the unit circle / X
For each of the special angles, know the following:
/ X
Know domains and be able to identify the special angles for the following inverse functions:
/ X
Find the length of an arc in radians / X / Pg. 242 #2, 3
Find the area of a sector in radians / X / Pg. 242 #1, 4
Know what are equal to in terms of sine and cosine. / X
Know how to sketch one period of the following:
/ X
Be able to solve problems with any of the three Pythagorean Identities. / X / LM13-1 #9, 10, 11
LM 4-4 #2
Pg. 255 #12
Know the signs of any of the six basic trig functions in each quadrant of the unit circle. / X / X / See 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, Half-Turn Theorem) / X / X / See Chapter 4 Quiz 4.4-4.6
Pg. 255 #5-10
Topic / No Calculator / Calculator / Sample Questions
Know how to apply the Graph-Standardization Theorem (pg. 286) / X / Pg. 304 #52, 53
Know the periods of each of the six basic trig functions / X / See Notes
Know how to find the amplitude, period, phase shift, and vertical shift for sine, cosine and tangent. / X / Pg. 304 #46-51
Know how to use and apply the right triangle trigonometric ratios for the six basic trig functions.





/ X / X / Pg. 364 #1 plus find , ,
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
/ X / Pg. 304 #42, 43
Pg. 750 # 20, 22, 23, 25-27
Pg. 364 # 17-20
Be able to solve trigonometric equations with any of the six basic trig functions. / X / Pg. 365 #29-28
Be able to prove trigonometric identities using any of the six basic trig functions. / X / Pg. 864 27-30
Pg. 864 37, 38 plus do a proof if you find one is an identity.
Know how to simplify trigonometric expressions that involve the inverse trig functions / X