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Mathematics
The maximum value of cos 2((π/3)-x)- cos 2 ((π/3)+x) is
Q. The maximum value of
cos
2
(
3
π
−
x
)
−
cos
2
(
3
π
+
x
)
is
601
167
Trigonometric Functions
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A
−
2
3
12%
B
2
1
21%
C
2
3
33%
D
2
3
34%
Solution:
cos
2
(
3
π
−
x
)
−
cos
2
(
3
π
+
x
)
=
sin
(
3
π
−
x
+
3
π
+
x
)
sin
(
3
π
+
x
−
3
π
+
x
)
=
sin
3
2
π
sin
2
x
=
2
3
sin
2
x
(since, maximum value of
sin
2
x
is 1 )
Therefore, its maximum value is
2
3
.