Simplify the expression

asked Aug 14, 2023 209k views

11 votes

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6 votes

Explanation:

$( \cos(x) )/(1 + \sin(x) ) + ( \cos(x) )/(1 - \sin(x) )$

$( \cos(x)(1 - \sin(x) + \cos(x) (1 + \sin(x)) )/(1 + \sin(x))(1 - \sin(x) ) )$

$\frac{ \cos(x) - \cos(x) \sin(x) + \cos(x) + \cos(x) \sin(x) }{1 - \sin {}^(2) (x) }$

$\frac{2 \cos(x) }{ \cos {}^(2) (x) }$

$(2 \cos(x) )/( \cos(x) \cos(x) )$

$(2)/( \cos(x) )$

Alexpopescu answered Aug 20, 2023

3.6k points

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