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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Answer (1)
25th Jan, 2024
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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