Matematika

Pertanyaan

sin a=1/3V5 cos 1/2 a adalah??

1 Jawaban

  • sin a = 1/3 √5
    cos a = √(1 - sin² a)
    cos a = √(1 - 5/9)
    cos a = √(4/9)
    cos a = 2/3

    cos 2(1/2 a) = 2cos² (1/2 a ) - 1)
    2 cos² (1/2 a) = cos a + 1
    cos² (1/2 a) = (5/3)/2
    cos² (1/2 a) = 5/6
    cos (1/2 a) = √(5/6)
    cos (1/2 a) = 1/6 √30

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