Without using trigonometric tables, evaluate the follow
$cosec 65^{0} - sec 25^{0} - tan 55^{0} + cot 35^{0}$ ?

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Solution

$c o s e c 65^{\circ} - s e c 65^{\circ} - t a n 55^{\circ} + c o t 35$
$c o s e c (90 - 25) - s e c 25 - t a n (90 - 35) + c o t 35$
$s e c 25 - s e c 25 - c o t 55 + c o t 55$
$= 0$

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