The trigonometric equation is .
Reciprocal identity : .
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
.
The trigonometric equation is .
Pythagorean identity : .
Reciprocal identity : .
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 soltions are and
on the interval
.
The solutions of are
and
on the interval
.
Therefore, the solutions of are
,
,
, and
on the interval
.
The solutions of are
and
.
The solutions of are
,
,
,
.
Therefore, the solutions of and
are not equivalent.
The solutions of and
are not equivalent.