LESSON: Linear and Angular Measures of a Central Angle in A Unit Circle

Illustrating Angles in Standard Position and Coterminal Angles and Circular Functions

Using Reference Angles to Find Exact Values of Circular Functions

PLEASE CHECK MY ANSWERS. ANSWER AS WELL THE ITEMS THAT ARE INCORRECT AND DON'T HAVE ANSWER

1) What is formed by the initial and terminal side of a ray when rotated about its endpoint? A. angle / B. line C. ray D. segment 2) What is the sign of an angle in standard position when generated clockwise? A N egative/ B. Positive C. Right D Straight 3) What is the sign of an angle 1n standard position when generated counter-clockwise direction? A. Negative B. Positive / C. Right D. Straight 4) What is the terminal side of LAOBin gure shown in the right? A. 0A B. 0C C. 013 ./ p. on 5) What do you call the ray where the measurement of an angle starts? A. Arc side i B. Co-terminal side C. Initial side / 1' D. Terminal Side 6) What do you call the ray where the measurement of an'angle ends? A. Arc side B. (Io-terminal side C. Initial side D. Terminal Side / 7 7) What do you call the angles which when drawn at the standard position share a terminal side? ' A. Central angles B. Coterminal angles C. Reference angles D. Reex angles 8) What do you call the angle associated with every angle drawn in standard osition? A. Central angles B. Coterminal angles C. Reference angles D. Reex angles 9) What is the radian form of 75? 1t 5n 7n A. 12- B. 31: C. E D. E 10) Which of the following is the degree form ,of E ? A. 22. 5/ B. 24. 5 C. 26. 5 D. 28.5\" 11) Which of the folloWing IS the coterminal angle of 35? 345 B.325/ c. 310 D. 305 12) Wthis the positive coterminal angle of 380'? . 320 B. 340 / C. 360 D. 380 13) Which of the following is the smallest posii'iVe coterminal angle of 819? A. 99 1' x r B. 279 - ' c. 459 , , D. 639 14) What is the measure of the central angle that intercepts a 10 cm arc of a circle whose diameter is 10 cm? A. 1rad . B.2rad/ C.3rad D.4rad 15) Which of the following' 18 the radius of a circle if the central angle of 100 intercepts an arc of 6 cm? 54 90 5 5 A. 1rcm / B. 5-1tcm C. 51mm . D. 36mm 16) On a circle of diameter 40 cm, the arc intercepted at a central angle is 1h rad. What' IS the arc length? A. 20 cm B. 15 cm ~ C. 10 cm / D. 5 cm 17) What is the exact value of sin 1 35? -.,. A. \\/E B. \"f c. g/ _ D. 1/2 18) What' IS the exact value of cos 1 35? ' ' . A. ~72 , B. i f c. f D. 2 19) Which' 1s TRUE about 105. 40 in degrees minutes, and seconds measure? A. 10524'' 3.105%? C. 15024' '1- D. 15042' 20) Which amon the followin_ ' uuadrantal an les? ' 1. 0, 45, 90, 270, 360 0 ll. 0, 90, 180, 270, 360 lll. 0, 90, 180, 270, 360, 720 A. lonly ' B. 1 and n E . q. 11 and In ' D. 1 and 111 21) Which of the following is the degree form of 1%? l . A 310 B.330 / , . c.3509 D. 370 22) What is the exact value of sin 3:1 ? A. 2 B.\\/ c. / D? 23) What is the exact value of cos 1215? A. 2 B. 45 c. - , D. 923 x" 24) A wheel has a radius of 1 meter. When a point on the wheels has turned 2 meters, how many radians has it turned? _. A. 5 rad B. 4rad C. 3 rad D. 2 rad / 25) What is the value of sin 6 of the angle 9 if the terminal side off) in standard position passes through the I? point (5, 12)? --13 -12 S 13 ' A. '1? B. F (3.13. D. "g