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Formules trigonométrie

Formules trigonométrie

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Items (16)

  • cos(a+b)

    cos a . cos b - sin a . sin b

  • sin(a+b)

    cos a . sin b + cos b . sin a

  • tan(a+b)

    (tan a + tan b)/(1 - tan a . tan b)

  • sin a . cos b

    1/2(sin(a + b) + sin(a − b)) 

  • cos a . cos b

    1/2(cos(a+b) + cos(a-b))

  • sin a . sin b

    1/2(-cos(a+b) + cos(a-b))

  • sin p + sin q

    2.sin((p+q)/2).cos((p-q)/2)

  • sin p - sin q

    2.cos((p+q)/2).sin((p-q)/2)

  • cos p + cos q

    2.cos((p+q)/2).cos((p-q)/2)

  • cos p - cos q

    -2.sin((p+q)/2).sin((p-q)/2)

  • cos 2a

    cos²a - sin²a = 1 - 2.sin²a = 2.cos²a -1

  • sin 2a

    2.sin a.cos a

  • tan 2a

    (2.tan a)/(1 - tan²a)

  • cos 3a

    4.cos^3a − 3.cos a = cos3a − 3.cos a.sin²a

  • sin 3a

    3.sin a − 4 sin^3a = 3.cos²a.sin a − sin^3a

  • tan 3a

    (3.tan a - tan^3a)/(1 - 3.tan²a)