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Problems
Let,
f
(
x
)
=
sin
2
x
+
sin
2
(
x
+
π
3
)
+
cos
x
cos
(
x
+
π
3
)
f(x) = \sin^2 x + \sin^2 \left(x + \frac{\pi}{3}\right) + \cos x \cos \left(x + \frac{\pi}{3}\right)
f
(
x
)
=
sin
2
x
+
sin
2
(
x
+
3
π
)
+
cos
x
cos
(
x
+
3
π
)
…
Mathematics
Problem
Let,
f
(
x
)
=
sin
2
x
+
sin
2
(
x
+
π
3
)
+
cos
x
cos
(
x
+
π
3
)
f(x) = \sin^2 x + \sin^2 \left(x + \frac{\pi}{3}\right) + \cos x \cos \left(x + \frac{\pi}{3}\right)
f
(
x
)
=
sin
2
x
+
sin
2
(
x
+
3
π
)
+
cos
x
cos
(
x
+
3
π
)
,
g
(
5
4
)
=
1
g\left(\frac{5}{4}\right) = 1
g
(
4
5
)
=
1
, then find
(
g
∘
f
)
(
x
)
(g \circ f)(x)
(
g
∘
f
)
(
x
)
.
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