The trigonometric equation is and the interval is
.
Consider .
.
The general solution of is
, where
is an integer.
Divide each side by 2.
\.
General solution is , where
is an integer.
Find the angle in the interval .
General solution is , where
is an integer.
If ,
.
If ,
.
If ,
.
If ,
.
Thus, the solutions are ,
,
and
in the interval
.
Check graphically :
\The trigonometric equation is .
Rewite the equation as .
Draw a coordinate plane.
\Graph the equation in the interval
.
Graph :
\Observe the graph of the function :
\The graph touches the x - axis at ,
,
and
.
Convert the angles from radians to degrees.
\Thus, the solutions are ,
,
and
in the interval
.
The solutions are ,
,
and
in the interval
.