Question
Evaluate $:\operatorname{cosec} (65^\circ + A) - \sec (25^\circ - A)$

Answer

$\operatorname{cosec} (65^\circ + A) - \sec (25^\circ - A)$
$=\operatorname{cosec} [90^\circ - (25^\circ - A)] - \sec (25^\circ - A)$
$= \sec (25^\circ - A) - \sec (25^\circ - A)$
$= 0.$
 

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