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Mathematics
Problem
If
csc
θ
+
cot
θ
=
p
\csc\theta + \cot\theta = p
csc
θ
+
cot
θ
=
p
, then prove that
cos
θ
=
p
2
−
1
p
2
+
1
\cos\theta = \frac{p^2 - 1}{p^2 + 1}
cos
θ
=
p
2
+
1
p
2
−
1
p
2
−
1
p^2 - 1
p
2
−
1
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