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Precalculus Examples
Step-by-Step Examples
Precalculus
Analytic Trigonometry
Expand the Trigonometric Expression
tan
(
3
x
)
tan
(
3
x
)
Step 1
Apply the
tangent
triple-
angle
identity
.
3
tan
(
x
)
−
tan
3
(
x
)
1
−
3
tan
2
(
x
)
3
tan
(
x
)
-
tan
3
(
x
)
1
-
3
tan
2
(
x
)
Step 2
Factor
tan
(
x
)
tan
(
x
)
out of
3
tan
(
x
)
−
tan
3
(
x
)
3
tan
(
x
)
-
tan
3
(
x
)
.
Tap for more steps...
Step 2.1
Factor
tan
(
x
)
tan
(
x
)
out of
3
tan
(
x
)
3
tan
(
x
)
.
tan
(
x
)
⋅
3
−
tan
3
(
x
)
1
−
3
tan
2
(
x
)
tan
(
x
)
⋅
3
-
tan
3
(
x
)
1
-
3
tan
2
(
x
)
Step 2.2
Factor
tan
(
x
)
tan
(
x
)
out of
−
tan
3
(
x
)
-
tan
3
(
x
)
.
tan
(
x
)
⋅
3
+
tan
(
x
)
(
−
tan
2
(
x
)
)
1
−
3
tan
2
(
x
)
tan
(
x
)
⋅
3
+
tan
(
x
)
(
-
tan
2
(
x
)
)
1
-
3
tan
2
(
x
)
Step 2.3
Factor
tan
(
x
)
tan
(
x
)
out of
tan
(
x
)
⋅
3
+
tan
(
x
)
(
−
tan
2
(
x
)
)
tan
(
x
)
⋅
3
+
tan
(
x
)
(
-
tan
2
(
x
)
)
.
tan
(
x
)
(
3
−
tan
2
(
x
)
)
1
−
3
tan
2
(
x
)
tan
(
x
)
(
3
-
tan
2
(
x
)
)
1
-
3
tan
2
(
x
)
tan
(
x
)
(
3
−
tan
2
(
x
)
)
1
−
3
tan
2
(
x
)
tan
(
x
)
(
3
-
tan
2
(
x
)
)
1
-
3
tan
2
(
x
)
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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