Matematika

Pertanyaan

Please bantu ya teman
Please bantu ya teman

1 Jawaban

  • nilai fungsi trigoometri

    a.
    cos 240 = cos(180+60) = -cos 60 = -¹/₂
    sin 240 = sin (180 +60) = - sin 60 = ¹/₂ √3
    cos 240 + 1/√3 sin 240 = - ¹/₂ + 1/√3 (¹/₂ √3)=  - ¹/₂ + ¹/₂ = 0

    b.
    sin 330 = sin (360-30) = - sin 30 = - ¹/₂
    tan (-240) = - tan 240 = - tan(180+60) = - tan 60 = -√3
    cos 210 = cos (180+30) = -cos 30 = - ¹/₂ √3
    cot (315) = cos(360-45) = - cos 45 = - 1

    sin (330).tan(-210) - cos (210). cot (315) =
    = (-¹/₂)(-√3) - (¹/₂ √3)(-1)
    = ¹/₂√3 + ¹/₂ √3
    = √3

    c.
    sin 270 = -1
    cos 135 = cos (180-45) = - cos 45 = - 1/2 √2
    tan 135 = tan(180-45)  = - tan 45 = - 1
    sin 150 = sin(180-30) = sin 30 = 1/2
    cos 225= cos (180+45) = 1/2 √2

    [ sin 270. cos 135. tan 135)] / [sin 150 . cos 225=
    = (-1)(-1/2 √2)(-1)  / (1/2)(1/2 √2)
    = (-1)(-1) / (1/2)
    = 1/(1/2)
    = 2