The Trigonometric equation is .
Double angle formula: .
Apply zero rule property.
\ and
First part .
The general solution of is
, where
is any integer.
For ,
For ,
.
For ,
.
Therefore, the solutions in the interval are
.
The solution set is .
Second part
Apply zero rule property
\ and
and
.
The general solution of is
, where
is any integer.
solution is
Substitute in
, hence
.
Substitute in
, hence
.
Substitute in
, hence
.
Therefore, the solutions in the interval are
.
Consider .
.
Solution is
\ and
.
For complete solution we need to combine above two solutions
\Combine solutions is and
.
Arrange in ascending order.
\.
The solution for is
.