Matematika

Pertanyaan

Sin x ( tan x + cotan x ) = ...

2 Jawaban

  • sin x (tan x + cotan x)
    = sin x (tan x + 1/tan x)
    = sin x (tan x/tan x)
    =sin x . 1
    =sin x
  • Bab Trigonometri
    Matematika SMA Kelas X

    sin x (tan x + cotan x)
    = (sin x . tan x) + (sin x . cotan x)
    = (sin x . sin x / cos x) + (sin x . cos x / sin x)
    = sin² x / cos x + cos x
    = (sin² x + cos² x) / cos x
    = 1 / cos x
    = sec x

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