The trigonometric equation is .
Apply zero product property.
\ or
or
.
Solve .
The general solution of is
, where
is an integer.
The solution is , where
is an integer.
Find the solutions on the interval .
If ,
.
If ,
.
Thus, the solutions of are
and
on the interval
.
Solve .
The general solution of is
, where
is an integer.
The solution is , where
is an integer.
Find the solutions on the interval .
If ,
.
If ,
.
Thus, the solutions of are
and
on the interval
.
\
Therefore, the solutions of are
,
,
and
on the interval
.
\
Therefore, Vijays solutions are correct.
Vijays solutions are correct.