MATH 1B, Lecture D, Course Code 44053
Midterm Exam 2 [100 points], Monday, February 28, 2005
Winter 2005, Dr. Masayoshi Kaneda, University of California, Irvine
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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.
•SIMPLIFY YOUR ANSWERS AS MUCH AS POSSIBLE.
•NO CALCULATOR of any type is allowed.
1. [10] Given y= 11 sin(2x+ 3).
(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= 11 sin(2x)?
2. [10] Evaluate.
(1) [2] tan−11.
(2) [2] tan(tan−11).
(3) [2] tan−1(tan π
3).
(4) [4] tan−1(tan(4π
3)).
3. [10] Let θis in Quadrant I I and sin θ=3
5.
(1) [4] Find cos θ.
(2) [4] Find cos(2θ).
(3) [2] Which quadrant is 2θin?
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