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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: $1$


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 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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