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If \( \theta=3 \alpha \) and \( \sin \theta=\frac{a}{\sqrt{a^{2}+b^{2}}} \), then the value of the expression \( a \operatorname{cosec} \alpha-b \sec \alpha \) is
(A) \( \frac{a}{\sqrt{a^{2}+b^{2}}} \)
(B) \( 2 \sqrt{a^{2}+b^{2}} \)
(C) \( a+b \)
(D) none of these
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