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JEE Advanced 2015 Paper 1 Mathematics Q1
Mathematics
Problem
The number of distinct solutions of the equation
5
4
cos
2
2
x
+
cos
4
x
+
sin
4
x
+
cos
6
x
+
sin
6
x
=
2
\frac54\cos^2 2x+\cos^4x+\sin^4x+\cos^6x+\sin^6x=2
4
5
cos
2
2
x
+
cos
4
x
+
sin
4
x
+
cos
6
x
+
sin
6
x
=
2
in the interval
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
is
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