Matematika

Pertanyaan

Buktikan :

1. Cos A + Tg A Sin A = Sec A
2. 1/sin A - Sin A = Cos A Cot A

1 Jawaban

  • Bab Trigonometri
    Matematika SMA Kelas X

    1] cos A + tan A . sin A = sec A
    cos A + (sin A / cos A) . sin A = sec A
    (cos² A + sin² A) / cos A = sec A
    1/cos A = sec A
    sec A = sec A

    2] (1/sin A) - sin A = cos A . cot A
    (1 - sin²)/sin A = cos A . cot A
    cos² A / sin A = cos A . cot A
    cos A . cos A / sin A = cos A . cot A
    cos A . cot A = cos A . cot A

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