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Review 5-1 – 5-6
Functions
Trigonometry Review
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Hour:_________________________
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1.
Convert
7
radians to revolutions.
5
7/10 rev.
2.
Convert 300o to radians and also
revolutions, use exact values.
5π/3 ; 5/6 rev.
3.
Name a quadrant where sin x <0, cos x > 0 and tan x >0.
not possible
4.
The point (1, 0) is rotated 150o about the origin. State
its exact new location without using trigonometric ratios
in your answer.
(-√3/2, 1/2)
5.
Find the exact value for
sin 960o
tan
7
6
-√3/2
1/√3
6.
Sketch the graph of two periods of the
graph f(x) = tan x. (Label your axes and use
radians for your angle measure)
7.
Name two exact points where the graphs
of f(x) = cos x and g(x) = sin x intersect.
(π/4, √2/2) and (5π/4, -√2/2)
8.
Give all solutions for cos   
150, 510, 210, 570
3
2
for 0o    720o .
9.
Write at least three sentences explaining why tan 88.9o is a large number.
Talk about how sine and cosine are used to define tangent
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10.
What is the measure of the smallest angle in a
right triangle with sides 11, 60, and 61?
about 10.39 degrees
11.
To the nearest degree, name four angles between 360o and 1080o, whose sine
equals .42.
385, 745, 515, 875
12.
Convert 137 degrees into radians, round your answer to the nearest tenth.
2.4
13.
Solve for x in degrees: tan x = 16.85.
Write an expression that represents all possible answers.
86.6 + 180n, n ε Integers
14.
A forty foot tree casts a 17 yard shadow. What is the angle of elevation of the sun?
38.1 degrees
15.
List at least three different ways that we have defined tangent in this chapter.
sin/cos; slope of a line ; opposite over adjacent
B
16.
The cloth on a hand-held fan shown at the right needs
to be replaced. AB=10cm, BM = 3cm, and mABC  120o .
If the fan can be thought of as a sector of a circle, find the
area of the cloth. (Round your answer to the nearest hundredth
100π/3 - 49π/3 = 51π/3 = 53.41 cm2
M
A
C
17.
In a right triangle, the side opposite a 43o angle has a length of 23.57. Find the length of
the hypotenuse rounded to the nearest hundredth.
34.56
18.
6

2

4
Simplify cos(2)  sin  tan  e0  (1)128  cos(111)