Matematika

Pertanyaan

Tentukan nilai dari bentuk
cos([tex] \frac{2}{3}[/tex][tex] \pi [/tex]) +sin (-[tex] \frac{7}{6} [/tex][tex] \pi [/tex])+sin([tex] \frac{7}{4} [/tex][tex] \pi [/tex])
cotan[tex] \pi [/tex]/4

2 Jawaban

  • =·[tex]cos 120 degrees + sin - 210 degrees + sin 315 degrees[/tex]
    = - 1/2 + 1/2 + (-1/2√2)
    = -1/2√2 ≈ - 0.707106781187
  • [cos(2/3π) + sin(-7/6π) + sin(7/4π)] / cotan(π/4)
    = [cos(120) + sin(-210) + sin(315)] / cotan(45)
    = [(-1/2) * 1/2 * (-1/2 √2)] / 1
    = (-1/2) * 1/2 * (-1/2 √2)
    = -1/4 * (-1/2 √2)
    = 1/8 √2

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