Matematika

Pertanyaan

tolong dbantu kumohon
tolong dbantu kumohon

1 Jawaban

  • 2) cot A × sin A = cos A
    => (cos A/sin A) × sin A = cos A
    => cos A = cos A (terbukti)

    3) [(1 - tan^2○)/(1 + tan^2 ○) = cos^2 ○ - sin^2 ○



    cos^2 ○....sin^2 ○
    ----------- - --------------
    cos^2 ○.....cos^2 ○
    _______________ = cos^2 ○ - sin^2 ○
    cos^2 ○......sin^2 ○
    ------------ + -------------
    cos^2 ○.......cos^2 ○

    cos^2 ○ - sin^2 ○
    --------------------------
    ..........cos^2 ○
    _____________ = cos^2 ○ - sin^2 ○
    cos^2 ○ + sin^2 ○
    ----------------------------
    ...............cos^2 ○

    cos^2 ○ - sin^2 ○.............cos^2 ○
    -------------------------- ×--------------------------
    .............cos^2 ○............cos^2○ + sin^2 ○
    = cos^2 ○ - sin^2 ○

    cos^2 ○ - sin^2 ○
    ------------------------- = cos^2 ○ - sin^2 ○
    cos^2 ○ + sin^2 ○

    cos^2 ○ - sin^2 ○
    -------------------------- = cos^2 ○ - sin^2 ○
    .................1

    cos^2 ○ - sin^2 ○ = cos^2 ○ - sin^2 ○
    (Terbukti)

    4)sec^2 A × cosA
    -------------------------- = tan A
    ..........cosec A

    ....1
    ------------ × cos A
    cos^2 A
    ----------------------------- = tan A
    ..........1
    ---------------
    ....sin A

    ....1
    ----------
    cos A
    -------------- = tan A
    ......1
    --------------
    .......sin A

    ....1
    -------- x sin A = tan A
    cos A

    sin A
    ---------- = tan A
    cos A

    tan A = tan A (Terbukti)