How do you evaluate $tan((3pi)/2)$ ?

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Answer 1 · 2018-05-02T09:56:33

$color(indigo)(tan ((3pi)/2) = oo$

$tan ((3pi)/2)^c = tan 270^@$

$270^@ " falls in III Quadrant where tan and cot are positive"$

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$tan 270 = tan (180 + 90) = tan 90 = oo$

How do you evaluate tan((3pi)/2) tan((3pi)/2) ?