Matematika

Pertanyaan

nilai sin 135° - cos 225° + tan 405° =

1 Jawaban

  • sin 135 derajat - cos 225 derajat + tan 405 derajat
    = sin (180 - 45) derajat - cos (270 - 45) derajat + tan (360 + 45) derajat
    = sin 45 derajat - (- cos 45 derajat) + tan 45 derajat
    = [1/2 × 2^(1/2)] + [1/2 × 2^(1/2)] + 1
    = 2^(1/2) + 1
    = 2^(1/2) + [2^(1/2) / 2^(1/2)]
    = [(2^(1/2))^2 + 2^(1/2)] / 2^(1/2)
    = [2 + 2^(1/2)] / 2^(1/2)
    = [2^(1/2) + 2] / 2
    = 2^(1/2) + 1

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