MATH 115 QUIZ 4 SOLUTIONS November-December, 2016Instructor: S. Sands 1. (6 pts)NOTE: For (b) and (c), your answers may involve square roots. Rationalize denominators where appropriate. (a) State the reference angle associated with 330°° (b) State the exact value of cos(330° (c) State the exact value of tan(2π/3). 2. (6 pts) Using a calculator to help you find each of the following values, rounding the result to four decimal places. Be sure your calculator is in the proper angle measurement model! (c)cos(7π/8)≈-0.9239 3. (9 pts) Given a right triangle having an acute angleθof 22°and hypotenuse of length 50.0, find the measurement of the other angle and the other sides.Show work. Be sure to clearly identify which of your answers is the length of the side adjacent toθand which is the length of the side oppositeθ, as well as stating the measure of the other acute angle. Report the lengths rounded to two decimal places. . °

4. (12 pts) Suppose that the pointg3435−uni221A13, −6g3439lies on the terminal side of an angleθin standard position. Find theexact valuesof the six trigonometric functions ofθ.Work optional. Rationalize denominators as appropriate.

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