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MATH-1330 Exam 1 Fall 2013 Name __________________________________ Rocket Number __________________________ INSTRUCTIONS: You must show enough work to justify your answer on ALL problems. Correct answers with no work (or inconsistent work) shown will not receive full credit. All answers are to be exact; no decimal approximations. You are NOT allowed to use any electronic device for this exam. 1. For each of the following angles, indicate where the terminal side of the angle is located. Then find the reference angle and the exact value of the indicated trigonometric function for the angle. (5 pts. each) a. b. c. 11 6 11 = _______ 6 11 ________________ 6 ' = ______ cot 180 Location of 180 ________________ ' = _______ csc 180 = _______ 240 Location of 240 ________________ ' = _______ sin ( 240 ) = _______ Location of 2. Find the angle between 0 and 2 that is coterminal with the angle 140 and then find the exact value of 140 . Show how you get your coterminal angle. (6 pts.) sec 3 Coterminal angle _______ 3. 140 = _______ 3 Find the angle between 2 and 0 that is coterminal with the angle 119 and then find the exact value 119 of tan 4 4 . Show how you get your coterminal angle. (6 pts.) Coterminal angle _______ 4. sec 3 119 tan = _______ 4 Find the angle between 0 and 360 that is coterminal with the angle 1290 and then find the exact value of cos 1290 . Show how you get your coterminal angle. (5 pts.) Coterminal angle _______ cos 1290 = _______ 5. Find what quadrant the angle 230 is in. Then find the reference angle of the angle. You need to show your work for finding the reference angle. (5 pts.) The angle 230 is in the ___________ quadrant and the reference angle is ___________. 6. Find what quadrant the angle 39 is in. Then find the reference angle of the angle. You need to show 22 your work for finding the reference angle. (5 pts.) The angle 39 is in the ___________ quadrant and the reference angle is ___________. 22 7. Convert the following angles to degrees if it is given in radians or to radians if it is given in degrees. (5 pts. each) a. 324 Answer ________ b. 2 Answer ________ c. 17 36 Answer ________ 8. If tan 0 and csc 0 , then lies in which quadrant? (5 pts.) Answer _______ 9. If the terminal side of passes through the point ( 8 , 5 ) , then find the exact value of sin and cot . (8 pts.) sin = ________ 10. If the terminal side of is in the II quadrant and lies on the line 14 x 6 y 0 , find the exact value of tan and sec . (10 pts.) tan = ________ 11. cot = ________ Given: sec = ________ 5 Find the exact value of 9 a. tan = ________ (3 pts.) b. sin = ________ (3 pts.) 12. Use a right triangle to find the exact value of csc and cos if cot quadrant. (10 pts.) csc = _______ cos = ________ 15 7 and is in the IV