If \( |k|=5 \) and \( 0^{\circ} \leq \theta \leq 360^{\circ} \), then the number of different so...

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If \( |k|=5 \) and \( 0^{\circ} \leq \theta \leq 360^{\circ} \), then the number of different solutions of \( 3 \cos \theta+4 \sin \theta=k \) is
(a) Zero
(b) Two
(c) One
(d) Infinite
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