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tanθ =
sinθ/cosθ
cotθ =
cosθ/sinθ
quotient identities
tanθ= sinθ/cosθ and cotθ= cosθ/sinθ
reciprocal identities
cscθ= 1/sinθ, secθ= 1/cosθ, and cotθ= 1/tanθ
cscθ =
1/sinθ
secθ =
1/cosθ
cotθ =
1/tanθ
pythagorean identities
sin2θ + cos2 = 1, 1 + tan2θ = sec2θ, and 1 + cot2θ = csc2θ
sin2θ + cos2 =
1
1 + tan2θ =
sec2θ
1 + cot2θ =
csc2θ