The trigonometric equation is .
Consider .
Apply double angle identity : .
Common out from the left hand sdie.
Apply zero product property.
\ and
and
\
Conisder .
.
\
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 solutions is in the interval
.
\
Thus, the solutions of are
and
in the interval
.
The solutions of are
and
in the interval
.