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Standard XI
Mathematics
NCERT
Question
Find the general solution:
c
o
s
3
x
+
c
o
s
x
−
c
o
s
2
x
=
0
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Solution
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c
o
s
3
x
+
c
o
s
x
−
c
o
s
2
x
=
0
⇒
2
cos
(
3
x
+
x
2
)
cos
(
3
x
−
x
2
)
−
cos
2
x
=
0
⇒
cos
2
x
(
2
cos
x
−
1
)
=
0
⇒
cos
2
x
=
0
,
cos
x
=
1
2
⇒
x
=
(
2
n
+
1
)
π
4
,
x
=
2
n
π
±
π
3
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