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Mathematics
Problem
If
1
+
2
sin
x
+
3
sin
2
x
+
4
sin
3
x
+
…
1 + 2 \sin x + 3 \sin^2 x + 4 \sin^3 x + \dots
1
+
2
sin
x
+
3
sin
2
x
+
4
sin
3
x
+
…
upto infinite terms = 4 and number of solutions of the equation in
[
−
3
π
2
,
4
π
]
\left[-\frac{3\pi}{2}, 4\pi\right]
[
−
2
3
π
,
4
π
]
is
k
k
k
. The value of
∣
cos
2
x
−
1
sin
2
x
∣
\left| \frac{\cos 2x - 1}{\sin 2x} \right|
s
i
n
2
x
c
o
s
2
x
−
1
is equal to a. 1 b.
3
\sqrt{3}
3
c.
2
−
3
2 - \sqrt{3}
2
−
3
d.
1
3
\frac{1}{\sqrt{3}}
3
1
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