I have the question
Solve each equation for $X$ in the interval $0\leq X\leq 360$
$$\sin(X-30) = -0.3$$
Here is my attempt:
$\sin$ is negative and so $\tan$ and $\cos$ are positive.
This would mean that $17.5$ is added to $180$ and subtracted from $360$.
So the final answers for $X$ should be $227.5$ and $372.5$ degrees.
However, the solutions say that $X$ should be $12.5$ and $227.5$.
Why isn't the $360$ degrees from the cast diagram used? From previous questions it is but for this question it isn't?
Is there a mistake or is there a specific rule for this question and if so what is it ?