Solve the equation
![\frac{1}{\sin x}+\frac{1}{\cos x}=\frac 1p](/media/m/1/2/a/12a2703acf5a44f62f8434a4f3e726b7.png)
where
![p](/media/m/1/c/8/1c85c88d10b11745150467bf9935f7de.png)
is a real parameter.
Discuss for which values of
![p](/media/m/1/c/8/1c85c88d10b11745150467bf9935f7de.png)
the equation has at least one real solution and determine the number of solutions in
![[0, 2\pi)](/media/m/c/7/0/c70ee0fd24715eac873767f39953567f.png)
for a given
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Solve the equation $\frac{1}{\sin x}+\frac{1}{\cos x}=\frac 1p$ where $p$ is a real parameter.
Discuss for which values of $p$ the equation has at least one real solution and determine the number of solutions in $[0, 2\pi)$ for a given $p.$