Mathématiques

Question

BJR ,












combien fait cos(12)
mrc d'evnce

1 Réponse

  • bjr

    π/12 = π/3 - π/4

    on utilise

    cos (a - b) = cosa cosb + sina sinb

    cos(π/12) = cos[(π/3) - (π/4)]

                  = cox(π/3) cos(π/4) + sin(π/3) sin(π/4)

    = 1/2 x √2/2 + √3/2 x √2/2

    = √2/4 + √6/4

                = (√2 + √6)/4

    valeur exacte

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