Quiz 2
Math 1060–5
Friday, September 7, 2012
Name:
Directions: Unless otherwise indicated, show all work for full credit. Clearly indicate all
answers. Simplify all mathematical expressions completely. No calculators are allowed.
1. Give each of the following trigonometric functions. No work is needed. (5 points each)
(a) sin
π 1
=
6 2
(b) tan
π
=1
4
(c) cos 0 =1
(d) sin
π √2
=2
4
(e) cos
π √3
=2
6
3
2. Given that sin t = , find the following: (5 points each)
5
(a) sin(−t) =− sin t = − 35 since sine is an odd function
(b) sin(t − 42π) =sin t =
3
5
since sine is 2π-periodic
3. Find the exact values of sine, cosine, and tangent for the angle θ shown in the following
triangle. (Note: Figure is not drawn to scale.) (15 points)
θ QQ 10 = √62 + 82
Q
6
Q
Q
Q
8
opposite
hypotenuse
adjacent
cos θ =
hypotenuse
opposite
=
tan θ =
adjacent
sin θ =
8
=
10
6
=
=
10
8
4
=
6
3
=
4
5
3
5