The function \( \frac{\sin (x+\alpha)}{\sin (x+\beta)} \) has no ma...

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The function \( \frac{\sin (x+\alpha)}{\sin (x+\beta)} \) has no maximum or minimum if ( \( k \) an integer)
(a) \( \beta-\alpha=k \pi \)
(b) \( \beta-\alpha \neq k \pi \)
(c) \( \beta-\alpha=2 k \pi \)
(d) none of the above
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