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Byju's Answer
Standard XII
Mathematics
Solving Simultaneous Trigonometric Equations
Total number ...
Question
Total number of solution of the equation
cos
4
x
cos
x
=
sin
4
x
sin
x
where
x
∈
[
0
,
π
]
is
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Solution
cos
4
x
cos
x
=
sin
4
x
sin
x
⇒
cos
4
x
cos
x
−
sin
4
x
sin
x
=
0
⇒
cos
5
x
=
0
⇒
5
x
=
(
2
n
+
1
)
π
2
⇒
x
=
(
2
n
+
1
10
)
π
∵
0
≤
x
≤
π
∴
x
=
π
10
,
3
π
10
,
5
π
10
,
7
π
10
,
9
π
10
∴
Total number of solutions is
5.
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0
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Solving Simultaneous Trigonometric Equations
Standard XII Mathematics
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