Term
SUM IDENTITY
sin(u+v)
mix it up |
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Definition
SUM IDENTITY
sinu cosv + cosu sinv |
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Term
SUM IDENTITY
cos(u+v)
Creep Cousins Keep it together |
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Definition
SUM IDENTITY
cosu cosv + sinu sinv |
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Term
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Definition
SUM IDENTITY
tanu + tanv
1 - tanu tanv |
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Term
DIFFERENCE IDENTITY
sin(u-v) |
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Definition
DIFFERENCE IDENTITY
sinu cosv - cosu sinv |
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Term
DIFFERENCE IDENTITY
cos(u-v)
Creep Cousins Keep it together |
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Definition
DIFFERENCE IDENTITY
cosu cosv + sinu sinv |
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Term
DIFFERENCE IDENTITY
tan(u-v) |
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Definition
DIFFERENCE IDENTITY
tanu - tanv
1 + tanu tanv
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Term
DOUBLE ANGLE IDENTITY
sin(2u) |
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Definition
DOUBLE ANGLE IDENTITY
2 sinu cosv |
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Term
DOUBLE ANGLE IDENTITY
cos(2u)
(3 forms) |
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Definition
DOUBLE ANGLE IDENTITY
1: cos2u - sin2u
2: 1 - 2sin2u
3: 2cos2u - 1 |
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Term
DOUBLE ANGLE IDENTITY
tan(2u) |
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Definition
DOUBLE ANGLE IDENTITY
2tanu
1 - tan2u |
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Term
HALF ANGLE IDENTITY
sin(θ/2) |
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Definition
HALF ANGLE IDENTITY
±√[(1 - cosθ)/2]
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Term
HALF ANGLE IDENTITY
cos(θ/2)
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Definition
HALF ANGLE IDENTITY
±√[(1 + cosθ)/2] |
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Term
HALF ANGLE IDENTITY
tan(θ/2) |
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Definition
HALF ANGLE IDENTITY
±√[(1 - cosθ)/(1 + cosθ)]
= (1 - cosθ)/sinθ
= sinθ/(1 + cosθ) |
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Term
POWER REDUCING IDENTITY
sin2u |
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Definition
POWER REDUCING IDENTITY
1 - cos(2u)
2
or
½ - ½cos(2u)
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Term
POWER REDUCING IDENTITY
cos2u |
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Definition
POWER REDUCING IDENTITY
1 + cos(2u)
2
or
½ + ½cos(2u)
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Term
POWER REDUCING IDENTITY
tan2u |
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Definition
POWER REDUCING IDENTITY
sin2u
cos2u
=
1 - cos(2u)
1 + cos(2u) |
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