Matematika

Pertanyaan

tolong buktikan make cara yaa
tolong buktikan make cara yaa

1 Jawaban

  • [ t = x ]

    a.

    secx = sinx (tanx + cotx)

    secx = sinx (sinx/cosx + cosx/sinx)

    secx = sinx (sin²x + cos²x / sinxcosx)

    secx = sinx (1 / sinxcosx)

    secx = 1 / cosx

    secx = secx

    b.

    2sin²x + cos²x = csc²x + 1 / csc²x

    2sin²x + cos²x = csc²x/csc²x + 1/csc²x

    2sin²x + cos²x = 1 + 1/(1/sin²x)

    2sin²x + cos²x = 1 + sin²x

    2sin²x + cos²x = 1 - sin²x + 2sin²x

    2sin²x + cos²x = 2sin²x + cos²x