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If sec t = -6/5 and tan t < 0, then: (2 pts each) i) t is in Quadrant _________ ii) cos t = _______ iii)  EMBED Equation.DSMT4  = _______ iv) csc t = _________ v)  EMBED Equation.DSMT4 = _______ (Think quadrants on unit circle.) vi)  EMBED Equation.DSMT4  = ______ (Think complementary angles in a triangle.) 5. i)  EMBED Equation.3  (2 pts each) ii)  EMBED Equation.3  = iii)  EMBED Equation.3  = iv)  EMBED Equation.3 = v)  EMBED Equation.3 = 6. Give the amplitude, period, & phase shift of  EMBED Equation.DSMT4 . Sketch the graph. Plot specific points. Label units. (8 pts) MIFE 129 Test 5 11/26/08 Name___________________________ PART II ______/40 You may use a calculator on this part. If the calculator was used, write the expression that you keyed in. When recording final answer give angles to two decimal places. 7. Solve the triangle if a = 15 and  EMBED Equation.DSMT4 . Use radian measure. (5 pts) A = ________ C = _________ B = __________ c = ________ b = __________ 8. i) Convert 110o to radians. ________ ii) Convert 4 radians to degrees. _________ (2 pts) 9. The terminal side of an angle of t radians in standard position goes through the point EMBED Equation.3 . Find the exact values. (2 pts each) i)  EMBED Equation.3 = _______ ii)  EMBED Equation.3 = _______ iii)  EMBED Equation.3 = _______ 10. Include labeled sketches in your solutions. i) Your football has landed on your neighbors roof. When you are 25 feet from the building, the angle of elevation to the football is 21o. How high off the ground is your football? (7 pts.) ii) The sonar of a navy cruiser detects a submarine 4000 feet from the cruiser. The angle between the waterline and the submarine is 34o. How deep is the submarine? (7 pts.) 11. Simplify  EMBED Equation.DSMT4  (5 pts.) 12. Prove the following identities. (4 pts each) i)  EMBED Equation.DSMT4  ii)  EMBED Equation.DSMT4  Math 129 Test 5 Problem Session Sketch the angle. Evaluate the function at the given angle. (e.g. cos 90o = 0 ) i) cos  EMBED Equation.3  tan  EMBED Equation.3  sin 150o sec EMBED Equation.3  ii)  EMBED Equation.DSMT4  sin  EMBED Equation.3   EMBED Equation.3  tan 60o iii) sin  EMBED Equation.3   EMBED Equation.3  sin EMBED Equation.3  cos 360o II. Find sin t, cos t, and tan t if the terminal side of angle t in standard position passes through i) (4, -3) ii) (-4, -3) iii) (-4, 3) (Hint: sketch the angle!) III. i) Solve the right triangle given that  EMBED Equation.3  and  EMBED Equation.3 and the right angle is C. ii) Given tan A = 3 and c = 12 and B is the right angle. Solve the right triangle. iii) Given b = 25 and c = 8 and B is the right angle. Solve the right triangle. IV. If cos t = -.3 and ( < t < 3(/2, find a) sin t = b) sin (2p -t) c) cos (t+ 4p) = d) cot t = e) cot (t + 3p) = f) csc t = V. Give the amplitude, period, & phase shift. Sketch the graph. Plot specific points. Label units. i)  EMBED Equation.DSMT4  ii) EMBED Equation.DSMT4  iii)  EMBED Equation.DSMT4  VI. Find the exact functional value. i)  EMBED Equation.3  ii)  EMBED Equation.3  iii)  EMBED Equation.3  iv) sin[cos-1(3/5)] VII. Write as an algebraic expression in x. i) sec(arctan 5x) ii) tan ( arcos 2x) iii) cot(arctan 3x) Math 129 11/15/06 Name___________________________ Upper case variables refer to angles; lower case variables refer to lengths of sides. The figures are not drawn to scale, but are to only give relative position of variables.  17 1. Given the triangle, find the following. 8  A sin A = __________ csc A = __________ 15 cos A = __________ sec A = __________ tan A = __________ cot A = __________  2. Given sec A = 2 and b = 8. c = ________  a = _________ A = ________  Solve the triangle if c = 5 and A = 60( . 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