Math 144 - Exam 2 - Spring 2013 - Jaimos F Skriletz
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Answer each of the following questions to the best of your ability. To receive full credit, answers must be supported by a
sufficient amount of work using the methods presented in class.
1. (20 pts) Prove the following trigonometric identities:
(a) sin(x) cos(x) tan(x) = 1 − cos2 (x)
(b) sin(x) + cos(x) cot(x) = csc(x)
Math 144 - Exam 2 - Spring 2013 - Jaimos F Skriletz
2. (5 pts) What is the domain and range of sin−1 (x)?
3. (5 pts) Find the exact value of sin−1 (sin(5π/3))
4. (10 pts) Find the exact value of csc(tan−1 (15/8))
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Math 144 - Exam 2 - Spring 2013 - Jaimos F Skriletz
5. (20 pts) Solve the following triangle by finding all unknown side lengths and angles.
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Math 144 - Exam 2 - Spring 2013 - Jaimos F Skriletz
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6. (20 pts) A baseball diamond is a diamond (square) with 90 foot sides and the pitcher’s mound is located 60.5 feet along
the diagonal from the home plate as shown. How far is the pitchers mound from third base? (Note that the pitcher’s
mound is not in the center of the baseball diamond, but closer to home base than it is to second base.)
Math 144 - Exam 2 - Spring 2013 - Jaimos F Skriletz
7. (20 pts) Find the length of x in the following figure.
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