Trigonometric Functions Assignment, math homework help

Please complete the following questions. It is important that youshow all work you did to solve the problems when you submit your work.This includes any calculations, diagrams, or graphs that helped yousolve it.OPEN ENDED Write an equation giving the value ofthe Cosine function for an angle measure in its domain. Then, write yourequation in the form of an inverse function.

Writing in Math Use the information onpage 842 to explain how you can predict the behavior of tides. Explainwhy certain tidal characteristics follow the patterns seen in the graphof the sine function. Page 842 is in the attatchments. etric
High Tide
Period
de
Tidal
Pange
sine,
ent
The rise and fall of tides can have
great impact on the communities
and ecosystems that depend
upon them. One type of tide is a
semidiurnal tide. This means that
bodies of water, like the Atlantic
Ocean, have two high tides and
two low tides a day. Because
tides are periodic, they behave
the same way each day.
Sol Water
Level
Low Tide
aary
Graph Trigonometric Functions The diagram below illustrates the water
level as a function of time for a body of water with semidiurnal tides.
High Tide
Water
Level
24 Time
Low Tide
for
In each cycle of high and low tides, the pattern repeats itself. Recall that
a function whose graph repeats a basic pattern is said to be periodic.
To find the period, start from any point on the graph and proceed to the
right until the pattern begins to repeat. The simplest approach is to begin
at the origin. Notice that after about 12 hours the graph begins to repeat.
Thus, the period of the function is about 12 hours.
Thus, the period of the function is about 12 hours.
To graph the functions y = sin 0, y = cos e, or y = tan 8, use values of
expressed either in degrees or radians. Ordered pairs for points on these
graphs are of the form (0, sin ), (C, cos 6), and (ē, tan 8), respectively.
O
30°
90°
135
150
180°
210°
240°
270
300°
330
360°
0
}
45 60
va
2
120
V3
2
225
V
0
-1
ML
315°
V2
2
2
2
– یع
0
4 을
nearest
tenth
0
0.5
0.7
0.9
0.9
0.7
0.5
0
-0.5
-0.7
-09
-0.9
-0.7
-0.5
0
1
COS
1
V2
2
SM-MS &
블
-1 0
0
2
V2
–
V5
-1
VS
V2
2
Vs
1
& 2 – – – –
nearest
tenth
ESM-ws
1
0.9
0.7
0.5
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-0.7
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-0.7
–
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0.5
0.7
0.9
T-
San 7
1
0
VS
1
-V5
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Vs
سے اس
1
VS
nd
-1
V3
0
0.6
1
17
nd
-1
-06
0
nearest
0
tenth
06 1 17 nd -1.7
-0.6 0
0
콩
2 3 SH
21
4
nd not defined
822 Chapter 14 Trigonometric Graphs and Identities
쯤
ST
5
5
7*
11
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