What is $tan ({- 585}^{o})$ equal to?

1

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- 1

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- \sqrt{2}

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- \sqrt{3}

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Solution

The correct option is B $- 1$
$tan (- 585^{o})$
$= - tan (585^{o})$
$= - tan (720^{o} - 135^{o})$
$= - (- tan (135^{o})) = - 1$
Option B is correct

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