If \( \frac{\cos \theta}{a}=\frac{\sin \theta}{b} \), then \( \frac{a}{\sec 2 \theta}+\frac{b}{\...

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If \( \frac{\cos \theta}{a}=\frac{\sin \theta}{b} \), then \( \frac{a}{\sec 2 \theta}+\frac{b}{\operatorname{cosec} 2 \theta} \) is equal to
(A) \( a \)
(B) \( b \)
(C) \( \frac{a}{b} \)
(D) \( a+b \)
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