05faex02v1 - Math 113 EXAMII Nov 16 2005(60 minutes NAME...

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Unformatted text preview: Math 113 EXAMII, Nov. 16, 2005, (60 minutes). NAME: SECTION: Instructor: TO RECEIVE CREDIT FOR AN ANSWER, YOU MUST SHOW WORK J USTIFYING THAT, ANSWER. 1. (N0 CALCULATOR) The graph of y = sin(’2a: +c) is shown below. 32% 1) (3 points) Find the exact. value of $1. ‘ 2) (7 points) Find all exact values of c. (Any method can be used.) 3)’ (15 points) Find all exact values of :1: satisfying a '2. (CBS x+~§ )221, tanx<0. IL (NO CALCULATOR) (15 points) A triangle ABC has length ]AB| : 3372: , “3' C] = 6 , and measurement 45" for ABAC. Find the exact value of the measurement I 111. Let sins: = “5? with 53321 g a: 3 £21 Find the exact values of ' 1) (5 points) cosh: 2) (5 points) cos 2x 2) (10 points) 608% IV. (USE CALCULATOR). (25 points) Recall that 1:" (or 0:50) stands for the direction measured as 3: degrees clockwise frem north; An airplane is flying at air speed (the speed relative to the air, not to the greund) 200 miles per hour with a heading 0f 355" (so the airplane is pointed 5" west of north). Assume the wind biows from 225° to 0450 at speed of 50 miles per hour (so the wind blows from the southwest to the northeast). Find the ground speed and ground direction (course) of the airplane. V. Prove or disprove the follewing identities. 1) (8 points) For all 3: with cosa: 7é O, ‘ . 1 smxtanx w —~——~:——cosm. (30823 2) (NO CALCULATOR) (7 points)-.For 8,1193, 8111(337) 33665<2$> Sffnfi. ...
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