Matematika

Pertanyaan

8 sin π/4 cos 3/4 + cos²π./6-sin²3/4π

2 Jawaban

  • akar = {
    pangkat = ^

    8 . sin 180/4 . cos 3/4 . 180 + cos^2 180/6 -sin^2 3/4 . 180

    8 sin 45 . cos 135 + cos^2 30 . -sin^2 135
    8.1/2 {2 . -cos 45 + (1/2 {3)^2 . -sin^2 45
    4 {2 . -1/2 {2 + 3/4 . -(1/2 {2)^2
    -4 + 3/4 . -1/2
    -4 + (-3/8)
    -32/8 - 3/8
    -35/8
  • 8 sin π/4 cos 3π/4 + cos^2 π/6 - sin^2 3π/4
    = 8 sin 45° cos 135° + (cos 30°)^2 - (sin 135°)^2
    = 8 . 1/2 √2 . -1/2 √2 + (1/2 √3)^2 - (1/2 √2)^2
    = -4 + 3/4 - 2/4
    = (-16 + 3 - 2)/4
    = -15/4
    = -3 3/4

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