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Trigonometry Examples
Popular Problems
Trigonometry
Find the Range y=sin(3x)
y
=
sin
(
3
x
)
y
=
sin
(
3
x
)
Step 1
The
range
is the
set
of all valid
y
y
values. Use the
graph
to find the
range
.
Interval
Notation:
[
−
1
,
1
]
[
-
1
,
1
]
Set
-Builder Notation:
{
y
|
−
1
≤
y
≤
1
}
{
y
|
-
1
≤
y
≤
1
}
Step 2
y
=
s
i
n
(
3
x
)
y
=
s
i
n
(
3
x
)
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
°
°
7
7
8
8
9
9
≤
≤
θ
θ
4
4
5
5
6
6
/
/
^
^
×
×
>
>
π
π
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
,
,
0
0
.
.
%
%
=
=
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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