Evaluate :
$c o s e c 31^{\circ} - s e c 59^{\circ}$

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Solution

$c o s e c 31^{\circ} - s e c 59^{\circ}$
$= c o s e c (90^{\circ} - 59^{\circ}) - s e c 59^{\circ}$
$= s e c 59^{\circ} - s e c 59^{\circ} = 0$ (As cosec ( $90^{\circ}$ - A) = sec A)

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