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Trigonometry Chapter Three Sample Test Name_________ 1. Convert 315 degrees to radian measure and leave in terms of . (3.1 pg 106-107) 2. Convert 760 degrees to radian measure and leave in terms of . (3.1 pg 106-107) 3. Convert 15 12' 10" to radian measure and round to 2 decimal places. (3.1 pg 106-107) 7 to degree measure. (3.1 pg 106-107) 5 19 5. Convert to degree measure. (3.1 pg 106-107) 20 4. Convert 6. Convert 1 radian to degree measure. (3.1 pg 106-107) Find the exact value of each expression. (3.1 pg107 or 3.3 pg126) 7. cos 2 3 11. sin 15. cot 7 4 8. csc 11 9. cot 6 4 3 14 12. tan 3 16. sin 4 6 13 13. sec 3 17. csc 5 3 10. sin 7 6 14. cos 6 18 cos 3 4 (3.2 pg 113-116) 19. Find the arc length if the radius is 10 inches and the measure of the angle in radians is . 6 20. Find the arc length if the radius is 18 in and the measure of the angle in degrees is 72 . 21. Find the radius of the circle if the arc length is 17.86 and the angle is 1.113 radians. 22. Find the measure (in radians) of a central angle that intercepts an arc of length 10cm in a circle of radius 4.5cm. 23. Find the area of a sector if the radius is 15 cm and the measure in radians of a central angle is 4. 24. Find the area of the sector if the radius is 6 and the arc length is 2 . 25.Find the measure of the central angle in radians if the area of the sector is 801 sq units and the radius is 60. Use a calculator in radian mode to find each. (3.3 pg 126) 26. sin .116429 27. sec 7.4526 Find the value of s in the interval 0, that makes each statement true. (3.3 pg 127) 2 28. cos s .212 29. csc s 3.412 Find the exact value of s . (3.3 pg 127) 1 30. , cos s 2 2