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Basic Math
Simplify sin(t)+(cos(2t))/(sin(t))
sin
(
t
)
+
cos
(
2
t
)
sin
(
t
)
sin
(
t
)
+
cos
(
2
t
)
sin
(
t
)
Step 1
Rewrite
cos
(
2
t
)
sin
(
t
)
cos
(
2
t
)
sin
(
t
)
as a
product
.
sin
(
t
)
+
cos
(
2
t
)
1
sin
(
t
)
sin
(
t
)
+
cos
(
2
t
)
1
sin
(
t
)
Step 2
Write
cos
(
2
t
)
cos
(
2
t
)
as a
fraction
with
denominator
1
1
.
sin
(
t
)
+
cos
(
2
t
)
1
⋅
1
sin
(
t
)
sin
(
t
)
+
cos
(
2
t
)
1
⋅
1
sin
(
t
)
Step 3
Simplify.
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Step 3.1
Divide
cos
(
2
t
)
cos
(
2
t
)
by
1
1
.
sin
(
t
)
+
cos
(
2
t
)
1
sin
(
t
)
sin
(
t
)
+
cos
(
2
t
)
1
sin
(
t
)
Step 3.2
Convert from
1
sin
(
t
)
1
sin
(
t
)
to
csc
(
t
)
csc
(
t
)
.
sin
(
t
)
+
cos
(
2
t
)
csc
(
t
)
sin
(
t
)
+
cos
(
2
t
)
csc
(
t
)
sin
(
t
)
+
cos
(
2
t
)
csc
(
t
)
sin
(
t
)
+
cos
(
2
t
)
csc
(
t
)
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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