Matematika

Pertanyaan

jika tanX =2/3(x lancip) hitunglah cos2a dan sin 2a

1 Jawaban

  • TriGonoMetRi

    tan x = y/x = 2/3
    x lancip
    r = √(2² + 3²) = √13

    cos 2x
    = 2 cos² x - 1
    = 2 (x/r)² - 1
    = 2 (3/√13)² - 1
    = 18/13 - 1
    = 5/13 ✔

    sin 2x
    = √(1 - cos² 2x)
    = √(1 - 25/169)
    = 12/13 ✔

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