MATH 1B, Lecture E (44059)
Midterm Exam 2 [100 points], Monday, November 15, 2004
Fall 2004, Dr. Masayoshi Kaneda, University of California, Irvine
Name (Printed):
Student ID:
•You have 50 MINUTES to answer the following problems.
•SHOW ALL YOUR WORK.NO PARTIAL CREDIT will
be given for an answer without work except for #1.
•SIMPLIFY YOUR ANSWERS AS MUCH AS POSSIBLE.
•NO CALCULATOR of any type is allowed.
1. [10] Given y=−4 + 1
3cos( 1
2x−1).
(1) [2] What is the amplitude?
(2) [2] What is the vertical shift?
(3) [3] What is the period?
(4) [3] What is the phase shift when compared with y=−4 + 1
3cos( 1
2x)?
2. [10] Evaluate.
(1) [2] cos−1(−1).
(2) [2] cos(cos−10).
(3) [2] cos−1(cos π
3).
(4) [4] cos−1(cos(−π
3)).
3. [10] Let θis in Quadrant II and cos θ=−4
5.
(1) [4] Find sinθ.
(2) [4] Find cos(2θ).
(3) [2] Which quadrant is 2θin?
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