Chapter 4 Review (We will go over this Monday) Formulas: s r 1 A r 2 2 v r Name: __________________________ s v t w t #1-3: Calculator Problems 1. A bicycle wheel spins makes 50 revolutions per minute. What is the angular speed of the bicycle? 2. A building that is 30 feet tall casts a shadow on the ground that is 22 feet long. What is the angle of elevation of the sun? If the bicycle wheel has a radius 1.25ft what is the speed (linear) of the bicycle in feet per minute? 3. Mr. Fuentes is standing on top of the E building and sees two students who are walking on the ground. The angles of depression to the students are 30 and 42 . If the E building is 40 feet tall, how far apart are the two students? Fuentes Student A Student B #4-14: No Calculator 4. Given a 136 angle, answer the following. 5. Given a) What quadrant is the angle in? radians, answer the following. 6 a) What quadrant is the angle in? b) Name an angle that is coterminal to the angle. b) Name an angle that is coterminal to the angle. c) Convert the angle from degrees to radians. c) Convert the angle from degrees to radians. 17 , and sin 0 , find the six 8 trigonometric functions. 6. If sec 3 7. Find the exact value. sec arcsin 5 Fill out the unit circle. 8. Find the exact values. csc 7 19 cot 4 3 cos 4 7 sin 6 tan sec 2 3 9. Find the exact values. Give angles in radians. 1 cos 1 arctan 3 2 3 sin 1 2 10. Find all angles θ, 0 2 , such that: arctan( 1) tan 3 11. Graph and find the period, amplitude, domain, x and range of y 3cos 3 12. Graph and find the period, amplitude, domain, and range of y sin x 2 x 13. Graph and show all relevant data. y csc 2 14. Graph and show all relevant data y cot 2 x 3