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Practice TEST Accelerated Math 3 Intro to Trig Name __________________________ No Calculators- on test have an * *1. Determine which quadrant the terminal side of the angle lies in. a) 15 4 b) 34 3 *2. Determine two co-terminal angles (one positive and one negative) for the given angle. a) 14580 b) 25 6 *3. Find (if possible) the complement and supplement of the angle. *4. Convert to degrees. *5. Convert to radians. a) 33 8 a) 6. Convert to degree decimal form. a) b) 2 5 25 4 8000 b) 12500 343 54 '12" b) 16036" 7. Convert to degrees, minutes, and seconds. a) 146.6820 b) 236.250 8. A bicycle wheel with 12 inch diameter rotates 210°. What distance has the bicycle traveled? 9. A circle of radius r has a central angle of 135° which intercepts an arc of 18 inches. Find r. Give the exact value of each of the following. 8 *10. a) sin 3 b) 11 cos 6 *11. a) 13 sec 4 b) 13 cot 2 *12. a) 7 csc 3 b) 7 tan 4 *13. Give the exact value of the 6 trigonometric functions of the angle 23 3 *14. The function value cot t = - ¼, t lies in Quadrant II. Find the following: a) sin ( - t ) b) cos ( - t ) Evaluate the following. Round your answer to four decimal places. 15. a) sin 1340 b) cos 125014 ' c) csc 75019 ' 3 16. a) tan 5 45 b) csc 4 c) cot 2340 *17. A right triangle has an acute angle θ such that cot θ = 8. Find the value of the other 5 trigonometric functions. *18. A right triangle has an acute angle θ such that sin θ = 8/17. Find the value of the other 5 trigonometric functions. 20. Find the value of θ in degrees ( 0°≤θ≤90°) to the nearest hundreth and radians ( 0≤θ≤π/2) to 4 decimals. a) tan θ = 0.3245 b) sin θ = 0.5287 21. A man that is 6 feet tall casts a shadow 13 feet long. Find the angle of elevation of the sun. 22. The pilot of an airplane flying at 10000 feet sights a water tower. The angle of depression to the base of the tower is 20°. What is the length of the line of sight from the plane to the base of the tower? 23. The ramp approaching a loading platform that is 6 feet off the ground is to have an angle of 15° with the ground. Find the length of the ramp. Round to two decimal places. 24. An airplane leaves the runway climbing at 18° with a speed of 275 feet per second. Find the altitude of the plane after one minute. 25. The angle of elevation from a point 100 feet from the base of a school to the top of a flagpole on the school is 39°. The angle of elevation from the same point to the base of the flagpole is 28°. Find the height of the flagpole. *26. Determine the quadrant in which θ lies. a) sin θ < 0 and cos θ > 0 b) tan θ < 0 and cos θ > 0 The given point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. *27. ( 8, - 15) *28) ( - 6, - 8 ) *29. Given tan θ = - 7 / 8, and cos θ > 0, find csc θ. *30. Find the reference angle θ’ of each angle. a) 3 5 b) 246 0 c) 3400 d) 17 3 31. Find two radian values of θ 0 2 that satisfy cos θ = 0.7833. (Round your answers to 3 decimal places.) 32. Find two values of θ 00 3600 that satisfy csc θ = 2.5593.