Analytic Trigonometry Flashcards
1
Q
Sum and Difference Formula:
sin(u+v)
A
sinucosv+cosusinv
2
Q
Sum and Difference Formula:
sin(u-v)
A
sinucosv-cosusinv
3
Q
Sum and Difference Formula:
cos(u+v)
A
cosucosv-sinusinv
4
Q
Sum and Difference Formula:
cos(u-v)
A
cosucosv+sinusinv
5
Q
Sum and Difference Formula:
tan(u+v)
A
(tanu+tanv)/(1-tanutanv)
6
Q
Sum and Difference Formula:
tan(u-v)
A
(tanu-tanv)/(1+tanutanv)
7
Q
Double-Angle Formula:
sin2u
A
2sinucosu
8
Q
Double-Angle Formula:
cos2u
A
cos^2(u)-sin^2(u)
2cos^2(u)-1
1-2sin^2(u)
9
Q
Double-Angle Formula:
tan2u
A
(2tanu)/(1-tan^2[u])
10
Q
Half-Angle Formula:
sin(u/2)
A
±sqrt([1-cosu]/2)
11
Q
Half-Angle Formula:
cos(u/2)
A
±sqrt([1+cosu]/2)
12
Q
Half-Angle Formula:
tan(u/2)
A
(1-cosu)/sinu
sinu/(1+cosu), only when θ = 60º = π/3
