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The solutions are
.
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To solve the equation
, we can use the fact that
. This transforms our equation into:
Factoring out
gives:
Setting each factor to zero, we have:
For
:
- This implies
, hence . - Within the interval
, , giving .
For
:
- Rearranging gives
. - This occurs at
(plus for integer ). - Dividing by 2, we find
.
Combining all solutions, the angles
that satisfy the original equation in the given range are: