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30 Cards in this Set
- Front
- Back
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*Pythagorean Identities
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sin²θ + cos²θ = 1
tan²θ + 1 = sec²θ 1 + cot²θ = csc²θ |
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*Half Angle Formulas: sin(x/2)
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sin (x/2) = ± √(1-cosx/2)
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*Half Angle Formulas:cos(x/2)
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cos (x/2) = ± √(1+cosx/2)
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*Half Angle Formulas: tan(x/2)
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tan (x/2) = (1-cosx)/sinx
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*Sum to Product: sinx ± siny
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sinx ± siny = 2sin (x±y/2) cos(x±y/2)
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*Sum to Product: cosx +cosy
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cosx +cosy = 2cos (x+y/2) cos(x-y/2)
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*Sum to Product: cosx - cosy
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cosx - cosy = -2sin (x+y/2) sin(x-y/2)
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*Sum and Difference Formulas: sin(x±y)
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sin (x ± y) = sinx cosy ± cosx siny
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*Sum and Difference Formulas: cos(x±y)
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cos (x + y) = cosx cosy - sinxsiny
cos (x - y) = cosx cosy + sinxsiny |
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*Sum and Difference Formulas: tan(x±y)
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tan (x + y) = (tanx + tany)/ (1 - tan x tan y)
tan (x - y) = (tanx - tany)/ (1 + tan x tan y) |
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*Even-Odd Identities: sin(-x)
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sin (-x) = -sinx
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*Even-Odd Identities: cos(-x)
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cos (-x) = -cosx
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*Even-Odd Identities: tan(-x)
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tan (-x) = -tanx
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*Reciprocal Identities: csc x
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csc x = 1/sin x
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*Reciprocal Identities:cot x
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cot x = 1/tan x
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*Reciprocal Identities: sec x
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sec x = 1/cos x
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*Double Angle Formulas: sin2θ
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sin2θ = 2 (sinθcosθ)
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*Double Angle Formulas: cos2θ
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cos2θ = cos²θ - sin²θ = 1 - 2sin²θ = 2cos²θ - 1
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*Double Angle Formulas: tan2θ
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tan2θ= 2tanθ/ 1-tan²θ
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tanθ
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sinθ/cosθ
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cotθ
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cosθ/sinθ
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sec(-θ)
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-secθ
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csc(-θ)
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-cscθ
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cot(-θ)
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-cotθ
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sin²θ
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½(1−cos 2θ)
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cos²θ
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½(1+cos 2θ)
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sin(x+y) + sin(x-y)
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2sinxcosy
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cos(x+y) + cos(x-y)
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2cosxcosy
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sin(x+y) - sin(x-y)
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2cosxsiny
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cos(x+y) - cos(x-y)
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-2sinxsiny
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