Matematika

Pertanyaan

sin 30° tan 135° cos 45° / cos 60° sin 225° tan 150°

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  • nilai fungsi trigonometri

    sin 30 = 1/2
    tan 135 = tan(180-45) = - tan 45 = - 1
    cos 45 = 1/2 √2

    p = sin 30  tan 135 cos 45
    p = (1/2)(-1)(1/2 √2)
    p = -1/4 √2

    cos 60 = 1/2
    sin225 = sin(180+45) = - sin 45 = - 1/2 √2
    tan 150 = tan (180-30) = - tan 30 =  - 1/3 √3

    q = cos 60 sin 225 tan 150
    q = (1/2)(- 1/2 √2)(-1/3 √3)
    q = 1/12 √6

    p/q = ( -1/4 √2)/(1/12 √6) 
    p/q = - 1/2 √6

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