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Problem
Problem
Show that the equation
sec
θ
+
cosec
θ
=
c
\sec \theta + \operatorname{cosec} \theta = c
sec
θ
+
cosec
θ
=
c
has two roots between
0
0
0
and
2
π
2\pi
2
π
, if
c
2
<
8
c^2 < 8
c
2
<
8
and four root if
c
2
>
8
c^2 > 8
c
2
>
8
.
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