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Problem
Problem
If
exp
[
(
sin
2
x
+
sin
4
x
+
sin
6
x
+
…
∞
)
ln
2
]
\exp[(\sin^2 x + \sin^4 x + \sin^6 x + \dots \infty) \ln 2]
exp
[(
sin
2
x
+
sin
4
x
+
sin
6
x
+
…
∞
)
ln
2
]
satisfies the equation
y
2
−
9
y
+
8
=
0
y^2 - 9y + 8 = 0
y
2
−
9
y
+
8
=
0
, then the value of
cos
x
cos
x
+
sin
x
,
0
<
x
<
π
2
\frac{\cos x}{\cos x + \sin x}, 0 < x < \frac{\pi}{2}
c
o
s
x
+
s
i
n
x
c
o
s
x
,
0
<
x
<
2
π
, is a.
3
+
1
\sqrt{3} + 1
3
+
1
b.
3
−
1
2
\frac{\sqrt{3} - 1}{2}
2
3
−
1
c.
3
−
1
\sqrt{3} - 1
3
−
1
d. None of these
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