Analytic Trigonometry Flashcards by Elinor Meek

Q

Sum and Difference Formula:
sin(u+v)

A

sinucosv+cosusinv

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Q

Sum and Difference Formula:
sin(u-v)

A

sinucosv-cosusinv

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Q

Sum and Difference Formula:
cos(u+v)

A

cosucosv-sinusinv

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Q

Sum and Difference Formula:
cos(u-v)

A

cosucosv+sinusinv

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Q

Sum and Difference Formula:
tan(u+v)

A

(tanu+tanv)/(1-tanutanv)

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Q

Sum and Difference Formula:
tan(u-v)

A

(tanu-tanv)/(1+tanutanv)

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Q

Double-Angle Formula:
sin2u

A

2sinucosu

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Q

Double-Angle Formula:
cos2u

A

cos^2(u)-sin^2(u)
2cos^2(u)-1
1-2sin^2(u)

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Q

Double-Angle Formula:
tan2u

A

(2tanu)/(1-tan^2[u])

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Q

Half-Angle Formula:
sin(u/2)

A

±sqrt([1-cosu]/2)

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Q

Half-Angle Formula:
cos(u/2)

A

±sqrt([1+cosu]/2)

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Q

Half-Angle Formula:
tan(u/2)

A

(1-cosu)/sinu
sinu/(1+cosu), only when θ = 60º = π/3

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