Trigonometri

The exercise was created 2020-09-05 by Zekeblomquist123. Question count: 24.

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  • sin^2(x) + cos^2(x) 1
  • sin(-x) -sin(x)
  • sin(π-x) sin(x)
  • sin((π/2) - x) cos(x)
  • sin(x+y) sin(x)*cos(y) + cos(x)*sin(y)
  • sin(x-y) sin(x)*cos(y) - cos(x)*sin(y)
  • cos(x+y) cos(x)*cos(y) - sin(x)*sin(y)
  • cos(x-y) cos(x)*cos(y) + sin(x)*sin(y)
  • tan(x+y) (tan(x) + tan(y)) / (1 - tan(x)*tan(y))
  • tan(x-y) (tan(x) - tan(y)) / (1 + tan(x)*tan(y))
  • cos(x) + cos(y) 2*cos((x+y) / 2)*cos((x-y) / 2)
  • cos(x) - cos(y) -2*sin((x+y) / 2)*sin((x-y) / 2)
  • sin(x) + sin(y) 2*sin((x+y) / 2)*cos((x-y) / 2)
  • sin(x) - sin(y) 2*cos((x+y) / 2)*sin((x-y) / 2)
  • sin(2x) 2*sin(x)*cos(x)
  • cos(2x) 2*cos(x)^2 - sin(x)^2
  • sin(x)^2 (1 - cos(2x)) / 2
  • cos(x)^2 (1 + cos(2x)) / 2
  • cos(-x) cos(x)
  • cos(π-x) -cos(x)
  • cos((π/2) - x) sin(x)
  • D(sin(x)) cos(x)
  • D(cos(x)) -sin(x)
  • D(tan(x)) 1 + tan(x)^2 = 1 / cos(x)^2

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