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Standard XI
Mathematics
NCERT
Question
Prove the following:
c
o
s
(
π
+
x
)
c
o
s
(
−
x
)
s
i
n
(
π
−
x
)
c
o
s
(
π
2
+
x
)
=
c
o
t
2
x
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Solution
Verified by Toppr
L
H
S
=
c
o
s
(
π
+
x
)
c
o
s
(
−
x
)
s
i
n
(
π
−
x
)
c
o
s
(
π
2
+
x
)
=
(
−
cos
x
)
(
cos
x
)
(
sin
x
)
(
−
sin
x
)
=
cos
2
x
sin
2
x
=
cot
2
x
=
R
H
S
Hence proved.
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Prove the following:
c
o
s
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π
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)
c
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