Is this an arithmetic sequence?

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I came up with a question that made me think twice. Study the sequence

$$ \sin(x_1), \sin(x_2), \sin(x_3),... $$

where $x_1, x_2, x_3,...$ is chosen so

$d=\sin(x_{i+1})-\sin(x_i)$

is constant. Is this really an arithmetic sequence?