Solve the equation
where
is a real parameter.
Discuss for which values of
the equation has at least one real solution and determine the number of solutions in
for a given
%V0
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 $p.$