Question : What is the value of $\frac{\cos 37^{\circ}}{\sin 53^{\circ}}?$
Option 1: $ \frac{1}{2} $
Option 2: $\frac{1}{\sqrt{2}}$
Option 3: $0$
Option 4: $1$
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Correct Answer: $1$
Solution : $\frac{\cos 37^{\circ}}{\sin 53^{\circ}}$ $=\frac{\cos 37^{\circ}}{\sin (90^{\circ}-37^{\circ})}$ $=\frac{\cos 37^{\circ}}{\cos 37^{\circ}}$ $=1$ Hence, the correct answer is $1$.
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