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A summer 2005 exam for the mth 120 course at essex county college, focusing on trigonometry and algebra. The exam includes questions on evaluating trigonometric functions, finding expressions and sums, vector operations, infinite geometric series, trigonometric identities, and using the binomial theorem. Students are required to show all work and justify answers algebraically.
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MTH 120 — Summer — 2005 Essex County College — Division of Mathematics Test # 3^1 — Created June 22, 2005
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Show all work clearly and in order, and box your final answers. Justify your answers alge- braically whenever possible. You have at most 110 minutes^2 to take this 100 point exam. No cellular phones allowed.
(b) tan
− 78 π
1 points
(c) cot 3. 529 1 points
(d) csc (− 6 .895) 1 points
(e) sec 60. 001 1 points
(f) arcsin (− 0 .645) 1 points
(g) arccos 0. 777 1 points
(h) arctan (− 2 .358) 1 points
(^1) This document was prepared by Ron Bannon using LATEX 2ε. (^2) 10:40 a.m. until 12:30 p.m..
2 , 1 , 8 9
n=
(2n − 1)
(b) w · v 3 points
(c) ‖u − w‖ 3 points
(d) The angle between v and u. 3 points
(a) sin x 2 points
(b) cos x 2 points
(c) tan x 2 points
(d) cot x 2 points
(e) sec x 2 points
(f) csc x 2 points
and cos β = − 3 5
with both α and β are in the third quadrant. Find the exact values of the following.
(a) sin
( (^) α 2
3 points
(b) cos
( (^) α 2
3 points
(c) tan
( (^) α 2
2 points