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```Review 5-1 – 5-6
Functions
Trigonometry Review
Name:________________________
Hour:_________________________
No Calculator
1.
Convert
7
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
(-√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
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
Calculator
10.
What is the measure of the smallest angle in a
right triangle with sides 11, 60, and 61?
11.
To the nearest degree, name four angles between 360o and 1080o, whose sine
equals .42.
385, 745, 515, 875
12.
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
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)
```