Matematika

Pertanyaan

buktikan cotan A + tan A /cosec A = sec A
buktikan cotan A + tan A /cosec A = sec A

1 Jawaban

  • secx = cotx + tanx / cscx

    secx = cosx/sinx + sinx/cosx : cscx

    secx = cos²x + sin²x / sinxcosx : cscx

    secx = 1/sinxcosx : 1/sinx

    secx = 1/sinxcosx . sinx/1

    secx = 1/cosx

    secx = secx