The function $\Large\frac{\sin(x+\alpha)}{\sin(x+\beta)}$ has no maximum or minimum value if $$(a)\;\beta-\alpha=k\pi\qquad(b)\;\beta-\alpha \neq k\pi\qquad(c)\;\beta-\alpha = 2k\pi\qquad(d)\;None\; of\; these\; where\; k\; is\; an\; integer.$$

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