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Trig Identities and other Formulas
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Sin (a + b) =
Sin(a) Cos(b) + Sin(b) Cos(a)
Sin (a – b) =
Sin(a) Cos(b)- Sin(b) Cos(a)
Cos (a + b)=
Cos(a) Cos(b) – Sin(a) Sin(b)
Cos(a – b)
Cos(a) Cos(b) + Sin(a) Sin(b)
tan(a + b)
tan(a) + tan(b)
1− tan(a) tan(b)
tan(a - b)
tan(a) + tan(b)
1− tan(a) tan(b)
sin
2
x + cos
2
x =
1
1 + tan
2
x =
sec
2
x
1 + cot
2
x =
csc
2
x
sin 2u =
2sin(u) cos(u)
cos2u =
cos
2
u − sin
2
u
sin (
θ
/
2
)=
= ± squrt((1− cosθ)/2)
cos(
θ
/
2
)=
= ± squrt((1− cosθ)/2)
tan (
θ
/
2
)=
1− cosθ
sinθ
sinθ
1 + cosθ
sinθ=
y/r
cosθ =
x/r
tanθ =
y/x
cscθ =
r/y
secθ =
r/x
cotθ =
x/y
180
o
/π = π/180
1
sector =
α r
Area of a sector of a circle with angle α
A
S
= αr
2
/ 2
Angular velocity
ω = α / time
Linear velocity
ν = s/t = αr/t = rω
Author
hideeem
ID
115364
Card Set
Trig Identities and other Formulas
Description
Math 112 formulas
Updated
2011-11-08T05:36:05Z
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