Matematika

Pertanyaan

Cos (x+135) = sin x. Nilai tan x adalah...

1 Jawaban

  • cos (x + 135°) = sin x
    cos x cos 135 - sin x sin 45 = sin x
    -1/2 √2 (cos x + sin x) = sin x
    (cos x + sin x)/sin x = - 2/√2
    cos x /sin x + 1 = -√2
    cos x/sin x = -√2 - 1
    sin x/cos x = -1/(√2 + 1)
    tan x = -(√2 - 1)
    tan x = 1 - √2

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