Matematika

Pertanyaan

Tolong dibantu beserta penjelasannya yaa
Trims
Tolong dibantu beserta penjelasannya yaa Trims

1 Jawaban

  • 1)
    sin^2 a - sin^2 b
    _____________ = tan^2 a - tan^2 b
    cos^2 a cos^2 b

    sin^2 (a - b)
    _____________ = tan^2 a - tan^2 b
    cos^2 a cos^2 b

    sin^2 a cos^2 b.....cos^2 a + sin^2 b
    ____________ - ______________
    cos^2 a cos^2 b.....cos^2 a cos^2 b
    = tan^2 a - tan^2 b

    sin^2 a......sin^2 b
    ______ - _______ = tan^2 a - tan^2 b
    cos^2 a.....cos^2 b

    tan^2 a - tan^2 b = tan^2 a - tan^2 b
    (TERBUKTI)

    2)
    2 - sec^2 b
    _________ = 1 - 2sin^2 b
    sec^2 b

    2 - (1 / cos^2 b)
    ___________ = 1 - 2sin^2 b
    1 / (cos^2 b)

    [2 - (1 / cos^2 b)]×[cos^2 b] = 1 - 2sin^2 b
    2cos^2 b - 1 = 1 - 2sin^2 b
    1 - 2sin^2 b = 1 - 2sin^2 b
    (TerBUKTI)