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Mathematics SL Name___________________________________ Practice Test: Chapter 8 Radians and the Unit Circle Period____ Convert each degree measure into radians. 1) 30° Convert each radian measure into degrees. 2) Find the length of each arc. 3) 4) r ft, 10 mi ° Find the area of each sector. 5) 13 in Find a positive and a negative coterminal angle for each given angle. 6) Find a coterminal angle between 0° and 360°. 7) ° State the quadrant in which the terminal side of each angle lies. 8) ° 9) -1- Draw an angle with the given measure in standard position. 10) y x Solve each equation for . 11) sin Solve each equation for . 12) cos 13) cos Find all solutions to each equation in radians. 14) cos Find the exact value of each trigonometric function. 15) cos y x ° 16) Find the slope of a line that passes through the origin and is rotated 120° from the positive x-axis 17) Find the area in exact form of the sector of a circle centered at the origin and minor arc endpoints at (, ) and , . ( ) 18) Find all c if the terminal ray of an angle of rotation passes through a point on the unit-circle with an x-coordinate of . (Assume k is an integer.) -2- Answers to Practice Test: Chapter 8 Radians and the Unit Circle 5) in² 9) IV 1) 2) 120° 6) and 10) y 3) mi 4) ft 7) ° 8) I 11) , 12) x 17) 13) n 15) 18) k and k 14) -3- 16) -