Matematika

Pertanyaan

A) Cos 105° . Cos 15° =
B) Sin 75° + Sin 15° =

1 Jawaban

  • Trigonometri

    cos 105 cos 15
    = 1/2 [cos (105 + 15) + cos (105 -15)]
    = 1/2 [cos 120 + cos 90]
    = 1/2 (-1/2 + 0)
    = -1/4

    sin 75 + sin 15
    = 2 sin (75 + 15)/2 cos (75 - 15)/2
    = 2 sin 45 cos 30
    = 2 . 1/2 √2 . 1/2 √3
    = 1/2 √6

    ......
    2 cos a cos b = cos (a + b) + cos (a - b)
    sin a + sin b = 2 sin (a + b)/2 cos (a - b)/2



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