Similar Triangles, Right Triangles, And The Definition Of The Sine, Cosine And Tangent Functions Of Angles Of A Right Triangle Worksheets With Answer Key Page 19
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43-1
y = sin
x.
-1
Figure T37 shows the graph of y = sin
x.
The domain of the inverse sine function is -1 ≤ x ≤ 1
π
π
−
≤ y ≤
and its range is
2
2
.
In this setting, when y is considered an angle, the unit
of measure is radians, not degrees.
-1
Figure T37 y = sin
x
-1
The inverse cosine function y = cos
x and the inverse
-1
tangent function y = tan
x are defined in similar ways.
Figure T38 shows the graph of
-1
y = cos
x.
x is -1 ≤ x ≤ 1 and
-1
The domain of y = cos
its range is 0 ≤ y ≤ π.
-1
Figure T38 y = cos
x.
Figure T39 shows the graph of
-1
y = tan
x.
The domain of the inverse tangent function is
π
π
−
∞
<
<
∞
−
x
and its range is
2
< y <
2
.
-1
Figure T39 y = tan
x
-1
-1
-1
In the functions y = sin
x, y = cos
x and y = tan
x, think of y as an angle expressed in radians.
When using a scientific calculator to work with these functions, set the calculator to radian mode.
2
−
1
Example: Find
sin
.
2
2
−
=
1
Solution: Set
y
sin
.
By the definition of the inverse sine function,
2
π
π
2
=
−
≤
≤
sin
y
and
y
.
2
2
2
π
π
π
2
−
The angle between
and
whose
sine
is
is
the
familar
special
angle
.
Thus,
2
2
2
4
- 19 -
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education