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Trigonometry Examples
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Trigonometry
Simplify sin(-x)*cot(-x)
sin
(
−
x
)
⋅
cot
(
−
x
)
sin
(
-
x
)
⋅
cot
(
-
x
)
Step 1
Rewrite in
terms
of
sines
and
cosines
, then cancel the
common factors
.
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Step 1.1
Reorder
sin
(
−
x
)
sin
(
-
x
)
and
cot
(
−
x
)
cot
(
-
x
)
.
cot
(
−
x
)
⋅
sin
(
−
x
)
cot
(
-
x
)
⋅
sin
(
-
x
)
Step 1.2
Rewrite
sin
(
−
x
)
⋅
cot
(
−
x
)
sin
(
-
x
)
⋅
cot
(
-
x
)
in
terms
of
sines
and
cosines
.
cos
(
−
x
)
sin
(
−
x
)
sin
(
−
x
)
cos
(
-
x
)
sin
(
-
x
)
sin
(
-
x
)
Step 1.3
Cancel the
common factors
.
cos
(
−
x
)
cos
(
-
x
)
cos
(
−
x
)
cos
(
-
x
)
Step 2
Since
cos
(
−
x
)
cos
(
-
x
)
is an even
function
, rewrite
cos
(
−
x
)
cos
(
-
x
)
as
cos
(
x
)
cos
(
x
)
.
cos
(
x
)
cos
(
x
)
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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