Which of the following trigonometric ratios will have the same value as $c o t 53^{\circ}$ ?

$s i n 65^{\circ}$

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$t a n 47^{\circ}$

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$t a n 37^{\circ}$

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$c o s e c 37^{\circ}$

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Solution

The correct option is C
$t a n 37^{\circ}$

We know that
$c o t θ = t a n (90^{\circ} - θ)$
$∴ c o t 53^{\circ} = t a n (90^{\circ} - 53^{\circ}) = t a n 37^{\circ}$ .

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