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Trigonometry Examples
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Trigonometry
Simplify ((sin(x))/(cos(x)))/(1-(1-cos(2x))/(1+cos(2x)))
sin
(
x
)
cos
(
x
)
1
−
1
−
cos
(
2
x
)
1
+
cos
(
2
x
)
sin
(
x
)
cos
(
x
)
1
-
1
-
cos
(
2
x
)
1
+
cos
(
2
x
)
Step 1
Multiply
the
numerator
by the
reciprocal
of the
denominator
.
sin
(
x
)
cos
(
x
)
⋅
1
1
−
1
−
cos
(
2
x
)
1
+
cos
(
2
x
)
sin
(
x
)
cos
(
x
)
⋅
1
1
-
1
-
cos
(
2
x
)
1
+
cos
(
2
x
)
Step 2
Convert from
sin
(
x
)
cos
(
x
)
sin
(
x
)
cos
(
x
)
to
tan
(
x
)
tan
(
x
)
.
tan
(
x
)
1
1
−
1
−
cos
(
2
x
)
1
+
cos
(
2
x
)
tan
(
x
)
1
1
-
1
-
cos
(
2
x
)
1
+
cos
(
2
x
)
Step 3
Combine
tan
(
x
)
tan
(
x
)
and
1
1
−
1
−
cos
(
2
x
)
1
+
cos
(
2
x
)
1
1
-
1
-
cos
(
2
x
)
1
+
cos
(
2
x
)
.
tan
(
x
)
1
−
1
−
cos
(
2
x
)
1
+
cos
(
2
x
)
tan
(
x
)
1
-
1
-
cos
(
2
x
)
1
+
cos
(
2
x
)
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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