Matematika

Pertanyaan

Tolong ya nomor 1 sama 2 pake caranya
Tolong ya nomor 1 sama 2 pake caranya

1 Jawaban

  • 1) cos a = 3/5
    sisi depan 3
    sisi miring 5
    sisi samping 4
    sin a = 4/5
    tan a = 4/3
    sin a . tan a - 1 / 2.tan²a
    = (4/5).(4/3) - 1 / 2(4/3)²
    = (16/15 - 15/15) / 2(16/9)
    = 1/15 / 32/9
    = 1/15 × 9/32
    = 3/160

    2) tan a = 1/√7
    sisi depan 1
    sisi samping √7
    sisi miring √8
    cosec²a = (√8/1)² = 8
    secan²a = (√8/√7)² = 8/7

    = (8 - 8/7) / (8+8/7)
    = (56/7 - 8/7) / (56/7 - 8/7)
    = (48/7) / (64/7)
    = 48/64
    = 6/8
    = 3/4