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Chapter 4 Trigonometric Functions Flashcards | StudBud
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Chapter 4 Trigonometric Functions
Chapter 4 Trigonometric Functions
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#trigonometricfunctions
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Questions
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Answers
1
This graph shows _______ cycles:
3
2
1
4
2
This is a graph of
Sine
Tangent
Cosine
Trigonometry
3
This part of the graph is called:
wavelength
period
cycle
amplitude
4
Let sin(θ) = -3/5 in the third quadrant. Find the exact value of tan(θ)
3/4
-4/5
4/5
-3/4
5
Create the equation.
y = 7sin(x + π/2) - 3
y = 7sin(x - π/2) + 3
y = 7sin(x + π/2) + 3
y = 7sin(x - π/2) - 3
6
tan 90° =
1
0
undefined
y/x
7
If you are in Quadrant 2, which of the following is true?
csc(θ) > 0
tan(θ) > 0
cos(θ) > 0
sin(θ) < 0
8
Find the amplitude of y=-6cos(x)
a=2
a=6
a=4
a=π/2
9
Simplify tan
2
(θ)*cos
2
(θ)
cos2(θ)
sin2(θ)
tan2(θ)
cot2(θ)
10
What is radian measure?
The measure of the length around the unit circle.
Angle measure using radius as unit of measure for the arc.
The length of one radius of the unit circle.
The number of subtended arcs in the unit circle.
11
cos 90° =
1
0
√3/2
√2/2
12
Simplify the following trig expression.
1-sin2(x)
cos2(x)
sin(x)
cos(x)
13
If cosƟ = -(√2)/2 then Ɵ could be
5π/4
7π/4
π/4
π/6
14
In which Quadrant(s) is/are the cos(x) function positive?
2 and 3
1 and 3
1 and 4
2 and 4
15
Which of the following is a Trigonometric Pythagorean Identity?
tan(θ) = sin(θ) / cos(θ)
a2 + b2 = c2
sin(θ)csc(θ) = 1
tan2(θ) + 1 = sec2(θ)
16
Cosecant is the reciprocal of:
secant
sine
tangent
cosine
17
Angles can be measured in _________ or ___________.
Celsius; Fahrenheit
radians; cosine
degrees; tangents
degrees; radians
18
Convert π/4 to degrees:
45°
30°
98.6° F
60°
19
The period of this function is:
π
π/4
π/2
2π
20
Quadrant 4. Sin(θ) = -12 / 13 . Cos(θ) = ??
12/13
5/13
-5/13
-12/13
21
The amplitude of this function is:
2π
4
2
Functions can't have amplitude!
22
If sinƟ = 1/2 then Ɵ could be
π
π/6
π/2
π/3
23
The y-intercept of a cosine function is at the ________.
trouph
crest
period
origin
24
Simplify the following trig expression
sin(x)
tan(x)
csc(x)
sec(x)
25
This part of the graph is called:
amplitude
crest
period
frequency
26
How can you rewrite cot(θ) in terms of sin(θ) and cos(θ)?
sin(θ)/cos(θ)
cos(θ)/sin(θ)
1/tan(θ)
It's not possible
27
This is a graph of:
tangent
sine
Obama
cosine
28
sec(x) / csc(x) can be expressed as:
(csc(x))/(tan(x))
Can't be simplified.
tan(x)
cot(x)
