The trigonometric equation is .
Consider .
Substitute the double angle formula .
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Apply zero product rule.
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and
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First part
The general solution of is
, where
is any integer.
solution is
Substitute in
, hence
Substitute in
, hence
Substitute in
, hence
Hence, .
Therefore,
Therefore, the solutions in the interval are
.
.
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Second part
No real solution for.
Therefore, the solution set is .
The solution for is
.