Documentation/Calc Functions/ACOS/pt-br

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Nome da função:



Template:Documentation/Calc Functions/Mathematical/pt-br


Retorna o arco cosseno (inverso do cosseno trigonométrico) de um número. A função calcula o valor principal.




Essa função retorna o cosseno trigonométrico inverso (arco cosseno) de Número, isto é, o ângulo (em radianos) cujo cosseno é Número. O ângulo retornado está entre 0 e PI [0,π].


Number is a real number in the range [-1, 1], or a reference to a cell containing that number, whose inverse trigonometric cosine is to be calculated.

  • If Number is non-numeric, then ACOS reports a #VALUE! error.
  • If Number lies outside the range [-1, 1], then ACOS reports a #NUM! error.

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  • To return the angle in degrees, use the GRAUS function.
  • Alternatively multiply by 180/PI() to convert the result from radians to degrees.

The formula for the inverse trigonometric cosine of x is:

[math]\displaystyle{ \arccos(x) ~=~ \frac {\pi} {2} ~-~ \sum_{n=0}^{\infty } \left ( \frac{(2n)!}{2^{2n}(n!)^2(2n+1)} \right )x^{2n+1} }[/math]

The figure below illustrates the function ACOS.

ACOS function

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=ACOS(-1) Inverse trigonometric cosine of -1. 3,14159265358979 (π)
=ACOS(D1) where cell D1 contains the number 0.5. Inverse trigonometric cosine of 0.5. 1,0471975511966 (π/3)
=GRAUS(ACOS(0,5)) Inverse trigonometric cosine of 0.5, converted to degrees. 60
=ACOS(-0,5)*180/PI() Inverse trigonometric cosine of -0.5, converted to degrees. 120
=GRAUS(ACOS(COS(RADIANOS(60))) An angle of 60° is converted to radians, its cosine is taken, then the inverse cosine of that value is calculated, and finally the result is converted back to degrees. 60

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Section 6.16.3, part 2.

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