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If sec A = cosec A and $0^{\circ} \leq A \leq 90^{\circ}$ , state the value of A.

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Solution

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$s e c A = c o s e c A$
$s i n A = c o s A$
$t a n A = 1$
$t a n A = t a n 45$
$A = 45^{\circ}$

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