Funciones trigonométricas (~/docs)

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Funciones trigonométricas

sin x cos x t g x sec x cosec x cot g x arcsin x arccos x arct g x = \frac{ordenada}{hipotenusa} = \frac{abscisa}{hipotenusa} = \frac{ordenada}{abscisa} = \frac{sin x}{cos x} = \frac{1}{cos x} = \frac{1}{sin x} = \frac{1}{tan x} = sin^{- 1} x = cos^{- 1} x = t g^{- 1} x

sin^{'} x cos^{'} x t g^{'} x sec^{'} x cosec^{'} x cot g^{'} x arcsin^{'} x arccos^{'} x arct g^{'} x = cos x = - sin x = \frac{1}{cos ^{2} x} = \frac{sin x}{cos ^{2} x} = \frac{- cos x}{sin ^{2} x} = \frac{- 1}{sin ^{2} x} = \frac{1}{1 - x ^{2}} = \frac{- 1}{1 - x ^{2}} = \frac{1}{1 + x ^{2}}

sin^{2} θ + cos^{2} θ t g^{2} θ cot g^{2} θ sin (α \pm β) cos (α \pm β) sin 2 x cos 2 x sin^{2} x cos^{2} x = 1 = sec^{2} θ - 1 = cosec^{2} θ - 1 = sin α cos β \pm cos α sin β = cos α cos β \mp sin α sin β = 2 sin x cos x = cos^{2} x - sin^{2} x = \frac{1 - cos ( 2 x )}{2} = \frac{1 + cos ( 2 x )}{2}

sinh x cosh x arsinh x arcosh x = \frac{e ^{x} - e ^{- x}}{2} = \frac{e ^{x} + e ^{- x}}{2} = ln (x + x^{2} + 1) = ln (x + x^{2} - 1) \forall x \geq 1

sinh^{'} x cosh^{'} x arsinh^{'} x arcosh^{'} x = cosh x = sinh x = \frac{1}{x ^{2} + 1} = \frac{1}{x ^{2} - 1}

cosh^{2} x - sinh^{2} x = 1