$cos 585^{o} = cos C$ Find the value of c.

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Solution

$cos 585^{0} = cos c$
$cos (360^{0} + 225^{0}) = cos c$
$cos 225^{0} = cos c$
$cos (360^{0} - 135^{0}) = cos c$
$c = 135^{0}$

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