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Trigonometry Examples
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Trigonometry
Simplify cos(arcsin(3/5)+arccos(( square root of 3)/2))
cos
(
arcsin
(
3
5
)
+
arccos
(
√
3
2
)
)
cos
(
arcsin
(
3
5
)
+
arccos
(
3
2
)
)
Step 1
Simplify each
term
.
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Step 1.1
Evaluate
arcsin
(
3
5
)
arcsin
(
3
5
)
.
cos
(
0.6435011
+
arccos
(
√
3
2
)
)
cos
(
0.6435011
+
arccos
(
3
2
)
)
Step 1.2
The exact value of
arccos
(
√
3
2
)
arccos
(
3
2
)
is
π
6
π
6
.
cos
(
0.6435011
+
π
6
)
cos
(
0.6435011
+
π
6
)
cos
(
0.6435011
+
π
6
)
cos
(
0.6435011
+
π
6
)
Step 2
Add
0.6435011
0.6435011
and
π
6
π
6
.
cos
(
1.16709988
)
cos
(
1.16709988
)
Step 3
The result can be shown in
multiple
forms.
Exact Form:
cos
(
arcsin
(
3
5
)
+
arccos
(
√
3
2
)
)
cos
(
arcsin
(
3
5
)
+
arccos
(
3
2
)
)
Decimal Form:
0.39282032
…
0.39282032
…
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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