trig identities

Cards (17)

  • sinθsin θ
    1/cscθ1 / csc θ
  • cscθcsc θ
    1/sinθ1 / sin θ
  • cosθcos θ
    1/secθ1/sec θ
  • tanθtan θ
    sinθ/cosθ=sin θ/cos θ =1/cotθ 1/cot θ
  • cotθcot θ
    cosθ/sinθ=cos θ/sin θ =1/tanθ 1/tan θ
  • Pythagorean Identity
    sin2θ+sin^2 θ +cos2θ= cos^2 θ =1 1
  • tan2θ+tan^2 θ +11
    sec2θsec^2 θ
  • cot2θ+cot^2 θ+11
    csc2θcsc^2 θ
  • sin(α+β)sin(α + β )
    sin(α)cos(β)+sin(α)cos(β ) +cos(α)sin(β) cos(α)sin(β)
  • secθsec θ
    1/cosθ1 / cos θ
  • sin(αβ)sin(α-β )
    sin(α)cos(β)cos(a)sin(β)sin(α)cos(β)-cos(a)sin( β)
  • cos(α+β)cos(α+β)
    cos(a)cos(β)sin(a)sin(β)cos(a)cos(β)-sin(a)sin(β)
  • cos(αβ)cos(α-β)
    cos(α)cos(β)+cos(α)cos(β) +sin(α)sin(β) sin(α)sin(β)
  • sin2θsin 2 θ
    2sinθcosθ2sin θcos θ
  • cos2θcos 2 θ
    cos2θsin2θ=cos^2 θ-sin^2 θ=2cos2θ1=2cos^2 θ-1=12sin2θ1-2sin^2 θ
  • cos2θcos^2 θ
    1+1 +cos2θ/2 cos2 θ / 2
  • sin2θsin^2 θ
    1cos2θ/21-cos2 θ/2