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Trigonometry
Simplify 1-csc(x)^2
1
−
csc
2
(
x
)
1
-
csc
2
(
x
)
Step 1
Simplify with
factoring
out.
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Step 1.1
Reorder
1
1
and
−
csc
2
(
x
)
-
csc
2
(
x
)
.
−
csc
2
(
x
)
+
1
-
csc
2
(
x
)
+
1
Step 1.2
Factor
−
1
-
1
out of
−
csc
2
(
x
)
-
csc
2
(
x
)
.
−
(
csc
2
(
x
)
)
+
1
-
(
csc
2
(
x
)
)
+
1
Step 1.3
Rewrite
1
1
as
−
1
(
−
1
)
-
1
(
-
1
)
.
−
csc
2
(
x
)
−
1
⋅
−
1
-
csc
2
(
x
)
-
1
⋅
-
1
Step 1.4
Factor
−
1
-
1
out of
−
csc
2
(
x
)
−
1
⋅
−
1
-
csc
2
(
x
)
-
1
⋅
-
1
.
−
(
csc
2
(
x
)
−
1
)
-
(
csc
2
(
x
)
-
1
)
−
(
csc
2
(
x
)
−
1
)
-
(
csc
2
(
x
)
-
1
)
Step 2
Apply pythagorean
identity
.
−
cot
2
(
x
)
-
cot
2
(
x
)
1
−
c
s
c
2
(
x
)
1
-
c
s
c
2
(
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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