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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 No Calculator X Calculator Sample Questions X X 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 X X Pg. 242 #2, 3 Pg. 242 #1, 4 X X 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) X X X X X 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 No Calculator X Calculator Sample Questions X Pg. 304 #52, 53 X See Notes X Pg. 304 #46-51 X Pg. 364 #1 plus find csc , sec , cot X Pg. 304 #42, 43 Pg. 750 # 20, 22, 23, 25-27 Pg. 364 # 17-20 X Pg. 365 #29-28 X Pg. 864 27-30 Pg. 864 37, 38 plus do a proof if you find one is an identity. YARF Quizzes! X