Download 113Qz3 Ch4stuff.tst

Math 113 Quiz 3 Name___________________________________
Show all work in order to receive full credit.
1)
9) sin
π
17
2
10) csc 5
Use the triangle for find the value of the six
trigonometric functions at θ.
π
12
Let θ be an angle in standard position. Name the quadrant
in which the angle θ lies.
11) tan θ < 0, sin θ < 0
sinθ = __________ csc θ = _________
cos θ = __________ sec θ = _________
Find the exact value of the indicated trigonometric
function of θ.
8
Find sin θ.
12) cos θ = , tan θ < 0
9
tan θ = __________ cot θ = _________
For problems 2 - 6 find the function value of the
trigonometric function. Use the Unit Circle, draw the
appropriate right triangle and then evaluate the function.
2) sec 60° =
3) cot 2 π
=
3
4) sin 240° =
5) tan 315° =
6) cos 7
13) cot θ = - , cos θ < 0
2
5 π
=
6
Find a cofunction with the same value as the given
expression.
7) cos 17°
8) tan 52°
1
Find csc θ.
Sin t and cos t are given. Use identities to find the
indicated value. Where necessary, rationalize
denominators.
11
5
14) sin t = - , cos t = - . Find cot t.
6
6
Solve the problem.
15) A radio transmission tower is 200 feet tall.
How long should a guy wire be if it is to be
attached 14 feet from the top and is to make an
angle of 23° with the ground? Give your
answer to the nearest tenth of a foot.
2
Answer Key
Testname: 113QZ3 CH4STUFF
1) sin θ = 2 29
29
2) 2
3)
3
3
4)
2 3
3
5) 3
6) 2
7) sin 73°
8) cot 38°
15π
9) cos 34
10) sec 5π
12
11) quadrant IV
17
12) - 9
13)
53
2
14)
5 11
11
15) 476.0 feet
3