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How do you simplify $tan Ø/ cot Ø$ ?

1 Answer

Jul 14, 2015

$tan(theta) / cot(theta) = tan^2(theta)$

Explanation:

By definition:
$color(white)("XXXX")$ $cot(theta) = 1/tan(theta)$
or
$color(white)("XXXX")$ $1/cot(theta) = tan(theta)$

$tan(theta)/cot(theta)$
$color(white)("XXXX")$ $= tan(theta)*1/cot(theta)$

$color(white)("XXXX")$ $= tan(theta)*tan(theta)$

$color(white)("XXXX")$ $= tan^2(theta)$

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