01spex3 - MATH It; SPRINér 20m — ROS/v“! 90.3 03 Math...

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Unformatted text preview: MATH It; SPRINér 20m — ROS/v“! 90.3 03 Math 113 EXAM III, April 18, 2001, (1 hour 1/2-). . NAME: SECTION C Instructor: To receive credit for an answer, you MUST show work justifying that answer. WHENEVER POSSIBLE, GIVE EXACT VALUES. FULL CREDIT WILL BE GIVEN ONLY FOR CLEAR AND ACCURATE FIGURES. I.(30 points) If there is a Wind of 55 mi/ h, blowing from north, which compass heading should a plane, flying at 450 mi / h (speed relative to air)7 keep in order to go in the direction of 20° east of north? II. (25 points) Evaluate EXACTLY: tan(sin_1(—1/3) + cos“l(é~)). III. (25 points) Determine the angle a, so that the following is an equilibrium. WW5?“ IV. (40 points) Sketch the graph of y = 3 005% + 7r) + 1. 7 This is the graph of the sine function. Evaluate the abscissae 9:1, x2, x3, x4, and $5 shown on the figure. The answer is to be given in terms of 9 (6 shown on the figure). Which xj is equal to sin-1(sin 6)? _ ' Wm». V. (20 points) Verify the identity: sin (:2 C056 : sin(a + B) — cos(o: + B) tanfi VI. (20 points) Assume that cosx = %, and 37" g :1: Evaluate cos What can you say about sin g? Discuss very clearly Whether it really has two possible values. ...
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01spex3 - MATH It; SPRINér 20m — ROS/v“! 90.3 03 Math...

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