The trigonometric equation is .
Consider .
Apply half - angle formula : .
\ \
\ \
.
Consider .
\ \
.
General solution of is
, where
is an integer.
General solution is , where
is an integer.
Find the angle in the interval .
General solution is , where
is an integer.
If ,
.
If ,
.
Thus, the solutions are and
in the interval
.
Consider .
.
General solution of is
, where
is an integer.
General solution is , where
is an integer.
Find the angle in the interval .
General solution is , where
is an integer.
If ,
.
If ,
.
Thus, the solution is in the interval
.
\
Thus, the solutions are ,
, and
in the interval
.
The solutions are ,
, and
in the interval
.