MATH-1330Name ______
Exam 2
Fall 2005S.I.D. # ______
INSTRUCTIONS: You must show enough work to justify your answer on ALL problems. Correct answers with no work (or inconsistent work) shown will not receive full credit. You are NOT allowed to use a calculator for this part of the test.
1.Find the exact value of each of the following making use of coterminal angles. Show how you get your coterminal angle for each. Also, indicate what your coterminal angle is for each. (21 pts.)
a.
Coterminal angle ______ = ______
b.
Coterminal angle ______ = ______
c.
Coterminal angle ______ = ______
MATH-1330Name ______
Exam 2
Fall 2005S.I.D. # ______
INSTRUCTIONS: You must show enough work to justify your answer on ALL problems. Correct answers with no work (or inconsistent work) shown will not receive any credit. The point value for each problem is given. You are allowed to use a non-graphing calculator for this part of the test.
2.If cos α < 0 and csc α < 0, then α lies in which quadrant? (5 pts.)
Answer ______
3.Given the triangle below, find cot θ. (5 pts.)
θ
b c
aAnswer ______
4.Find the angle between 2π and 0 which is coterminal with the angle = . (5 pts.)
Answer ______
5.If the terminal side of α passes through the point (4, 6), then find cot α and sec α. (10 pts.)
cot α = ______sec α = ______
6.If the terminal side of θ is in the III quadrant and lies on the line , find sin θ. (6 pts.)
Answer ______
7.Use a right triangle to find the exact value of sec and tan if sin = and is in the II quadrant. (10 pts.)
sec = ______tan = ______
8.Use a right triangle to find the exact value of cos α and csc α if cot α = 4 and cos α > 0 (12 pts.)
α lies in _____ quadrantcos α = ______csc α = ______
9.Given the triangle below, find y and . (8 pts.)
y
34.7
80 y ______ = ______
10.From the top of a building, which is 200 feet tall, the angle of depression to an object on level ground below is 15. Approximately how far is the object from the building? Draw a picture and label known information. Indicate any variable you use. Set up an equation and solve. Round your answer to two decimal places. (8 pts.)
Answer ______
11.From level ground, the angle of elevation to the top of a mountain is 4.7. From a point 15 miles closer to the mountain, the angle of elevation to the top of the mountain is 21. Approximate the height of the mountain. Draw a picture and label known information. Indicate any variable you use. Set up an equation and solve. Round your answer to two decimal places. (10 pts.)
Answer ______
12.Using your calculator, find the following. Round your answer to four decimal places. (6 pts.)
a. = ______
b.cot 1075 = ______
13.Find the angle between 0 and 360 which is coterminal with the angle = 6330. (5 pts.)
Answer ______