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Name: _______________________________________________ Date: _________________ Period: ____ Chapter 8 Review Sheet: Intro to Trig TEST THURSDAY 02/04/2016 Evaluating Trigonometry: Check all answers on your calculator to ensure you know how to use your calculator properly! 1) Given 2) Given a. Find b. Find where a. Find is undefined 3) Given a. Find b. Find 4) Find the exact value of the following: a. b. c. d. Basic Trigonometry: 5) The angle of elevation from a point 10 feet away from the base of a tree on level ground to the top of the tree is . How tall is the tree to the nearest tenth of a foot? 6) A 16-foot ladder, leaning against a restaurant, reaches the bottom of a sign that is 14 feet above the ground. To the nearest minute, find the angle that the ladder makes with the ground. 7) Solve for x: a. b. c. To the nearest minute Working with Trigonometry: 8) For each angle below find: (a) a coterminal angle, (b) the reference angle, and (c) convert to radians a. b. c. d. e. 9) For each angle below, convert to degrees a. b. 10) Determine the quadrant in which x lies: a. sin x > 0 and cot x < 0 c. sec x > 0 and sin x < 0 e. Point x = 11) Given c. b. csc x < 0 and cot x < 0 d. cos x > 0 and csc x > 0 f. Point x = , find the value of , and . (Draw & label a triangle first!) 12) Find the exact value of each of the following functions: a. b. c. 13) Express the following as the function of a positive acute angle: a. b. c. 14) Express the following as the function of a positive acute angle less than 45 : a. b. c. Name: _______________________________________________ 15) CHARTS! 0 30 45 Date: _________________ TRIG IDENTITIES 60 90 180 Period: ____ 270 RECIPROCAL IDENTITIES (as reciprocal) 0 30 45 60 90 180 270 KEY Evaluating Trigonometry: 1. a. b. 2.a. Basic Trigonometry: 5. The tree is about 7.3 feet tall 3a. 1 b. 6. The ladder makes a Working with Trigonometry: 8. a. Coterminal Angles 480 , (you may have -240 others!) Reference Angle 60 Radians 9. a. 70 10. a. 2 b. 36 4. a. 1 angle b. 7. a. 77 c. -1 d. b. 11.8 c. b. 310 , -410 c. 675 , -45 , -405 d. -495 , 225 , 585 e. -120 , 600 50 45 45 60 c. 300 b. 4 c. 4 d. 1 e. 3 f. 2 11. 12. a. b. c. 13. a. b. c. 14. a. b. c.