What is the formula of (1-cosx)/sinx ?

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What is the formula of (1-cosx)/sinx ?

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Answer 1 · 2018-05-22T14:09:18

$tan (\frac{x}{2})$ $tan (x/2)$

Explanation:

$(1 - cos x) = 2 {sin}^{2} (\frac{x}{2})$ $(1 - cos x) = 2sin^2 (x/2)$
$sin x = 2 sin (\frac{x}{2}) (cos (\frac{x}{2})$ $sin x = 2sin(x/2)(cos (x/2)$
$\frac{1 - cos x}{sin x} = \frac{2 {sin}^{2} (\frac{x}{2})}{2 sin (\frac{x}{2}) cos (\frac{x}{2})} = tan (\frac{x}{2})$ $(1 - cos x)/sin x = (2sin^2 (x/2))/(2sin (x/2)cos (x/2)) = tan (x/2)$

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What is the formula of (1-cosx)/sinx ?

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