The functions are
and
.
Find the rate of change of
.
The function is
.
Apply derivative on each side with respect to
.
.
Derivative of secant function :
.
.
Find the rate of change of
.
The function is
.
Apply derivative on each side with respect to
.
.
Derivative of cosecant function :
.
.
Find values of
in the interval
Rate of change of
is equal to the rate of change of
.



General solution of
is
.

For
,
.
is not in the interval
, hence it is not considered.
For
,
.
For
,
.
For
,
.
is not in the interval
, hence it is not considered.
Therefore the solutions of
in the interval
are
and
.
The solutions of
in the interval
are
and
.