Wie beweisen Sie, dass $tan θ cot θ = 1$ $tan theta cot theta = 1$ ist?

Per Definition $cot (θ) = \frac{1}{tan (θ)}$ $cot(theta) = 1/(tan(theta))$

$tan (θ) \cdot cot (θ)$ $tan(theta) * cot(theta)$

$XXXX$ $color(white)("XXXX")$ $= tan (θ) \cdot \frac{1}{tan (θ)}$ $= tan(theta) * 1/tan(theta)$

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

$color(white)("XXXX")$ $=1$

Wie beweisen Sie, dass tan theta cot theta = 1 tanθcotθ=1tan theta cot theta = 1 ist?