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Byju's Answer
Standard XII
Mathematics
General Solution of Trigonometric Equation
Find the gene...
Question
Find the general solution of the following questions
cos
x
=
2
x
sin
2
x
+
cos
x
=
0
.
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Solution
sin
2
x
+
c
o
s
x
=
0
∵
sin
2
x
=
2
s
i
n
x
c
o
s
x
⇒
2
s
i
n
x
c
o
s
x
+
c
o
s
x
=
0
⇒
c
o
s
x
(
2
s
i
n
x
+
1
)
=
0
↙
↘
c
o
s
x
=
0
2
s
i
n
x
=
−
1
s
i
n
x
=
−
1
/
2
General solution for
c
o
s
x
=
0
x
=
(
2
n
+
1
)
π
/
2
,
n
∈
z
⇒
x
=
2
n
π
±
π
/
2
,
n
∈
z
General solution for
s
i
n
x
=
−
1
/
2
let
s
i
n
x
=
s
i
n
y
→
(
1
)
s
i
n
x
=
−
1
/
2
→
(
2
)
From
(
1
)
&
(
2
)
s
i
n
y
=
−
1
/
2
s
i
n
y
=
sin
7
π
6
y
=
7
π
6
General solution
=
x
=
n
π
+
(
−
1
)
n
y
,
n
∈
z
put
y
=
7
π
6
x
=
n
π
+
(
−
1
)
n
7
π
6
,
n
∈
z
Hence for
c
o
s
x
=
0
,
x
=
(
2
n
+
1
)
π
/
2
,
n
∈
z
for
s
i
n
x
=
−
1
/
2
,
x
=
n
π
+
(
−
1
)
n
7
π
6
,
n
∈
z
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0
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Standard XII Mathematics
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