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Byju's Answer
Standard XII
Mathematics
Local Maxima
The value of ...
Question
The value of
⎛
⎜ ⎜ ⎜
⎝
cos
(
π
2
+
x
)
+
sin
(
π
2
+
x
)
cos
(
π
2
−
x
)
−
sin
(
π
2
−
x
)
⎞
⎟ ⎟ ⎟
⎠
2
is
A
1
−
sin
2
x
1
+
sin
2
x
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B
1
+
sin
2
x
1
−
sin
2
x
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C
1
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D
None of these
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Solution
The correct option is
C
1
⎛
⎜ ⎜ ⎜
⎝
cos
(
π
2
+
x
)
+
sin
(
π
2
+
x
)
cos
(
π
2
−
x
)
−
sin
(
π
2
−
x
)
⎞
⎟ ⎟ ⎟
⎠
2
=
(
−
sin
x
+
cos
x
sin
x
−
cos
x
)
2
=
(
−
1
)
2
=
1
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0
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