The trigonometric equation is .
Quotient identity : .
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 ,
.
If ,
.
Thus, the solutions 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 are and
on the interval
.
Therefore, the solutions of are
,
,
,
, and
on the interval
.
Observe the given options :
\ is not a solution of
.
Option D is the corrrect choice.
\Option D is the corrrect choice.