The value of (1 - Cos A)(1 + Cos A)( $c o s e c^{2}$ A) is __

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Solution

$(1 - C o s A) (1 + C o s A) (c o s e c^{2} A)$
$= (1 - c o s^{2} A) (c o s e c^{2} A)$
$= (s i n^{2} A) (c o s e c^{2} A)$
$= s i n^{2} A (\frac{1}{s i n^{2} A}) = 1$

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