Matematika

Pertanyaan

cos x / tan x + sec x - cos x / tan x - sec x =...

1 Jawaban

  • {cos x / (tan x + sec x)} - {cos x / (tan x - sec x)}
    perhatikan
    a/b - a/c = (ac - ab)/bc
    jadi
    {cos x(tan x - sec x) - cos x(tan x + sec x)}
    ------------------------------------------------------------
    (tan x + sec x) (tan x - sec x)

    cos x{(tan x - sec x) - (tan x + sec x)}
    -----------------------------------------------------
    tan²x - sec²x

    cos x(tan x - sec x - tan x - sec x)
    ------------------------------------------------
    tan²x - sec²x

    cos x(-2.sec x)
    ----------------------
    tan²x - sec²x

    cos x(-2/cos x)
    ---------------------
    tan²x - sec²x

    -2/-1
    = 2

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