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Trigonometry Examples
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Trigonometry
Simplify ((sin(x)+cos(x))^2)/(1+2sin(x)cos(x))
(
sin
(
x
)
+
cos
(
x
)
)
2
1
+
2
sin
(
x
)
cos
(
x
)
(
sin
(
x
)
+
cos
(
x
)
)
2
1
+
2
sin
(
x
)
cos
(
x
)
Step 1
Apply the
sine
double
-
angle
identity
.
(
sin
(
x
)
+
cos
(
x
)
)
2
1
+
sin
(
2
x
)
(
sin
(
x
)
+
cos
(
x
)
)
2
1
+
sin
(
2
x
)
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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