Studied by 2 people
Looks like no one added any tags here yet for you.
cos(u-v)=
cosucosv+sinusinv
cos(u+v)=
cosucosv-sinusinv
sin(u+v)=
sinucosv+cosusinv
sin(u-v)=
sinucosv-cosusinv
tan(u+v)=
tanu+tanv/1-tanutanv
tan(u-v)=
tanu-tanv/1+tanutanv
sin2u=
2sinucosu
cos2u=
cos^2u-sin^2u
cos2u=
1-2sin^2u
cos2u=
2cos^2u-1
tan2u=
2tanu/1-tan^2u
sin^2u=
1-cos2u/2
cos^2u=
1+cos2u/2
tan^2u
1-cos2u/1+cos2u
sinu/2=
+-sqrt(1-cosu/2)
cosu/2=
+-sqrt(1+cosu/2)
tanu/2=
+-sqrt(1-cosu/1+cosu)
sin-1:
Domain: [-1, 1], Range: [-pi/2, pi/2]
cos-1:
Domain: [-1,1], Range: [0,pi]
tan-1:
Domain: (-infinity, infinity), Range: (-pi/2, pi/2)
a^2=
b^2+c^2-2bccosA
At=
1/2bcsinA
Herron's: At=
sqrt(s)(s-a)(s-b)(s-c)
s=
1/2(a+b+c)
Parabola (up/down) formula
(x-h)^2=4p(y-k)
Parabola (sideways)
(y-k)^2=4p(x-h)
Ellipse (sideways) formula
(x-h)^2/a^2 + (y-k)^2/b^2=1
Ellipse (up/down) formula
(x-h)^2/b^2 + (y-k)^2/a^2=1
Hyperbola (sideways) formula
(x-h)^2/a^2 - (y-k)^2/b^2=1
Hyperbola (up/down) formula
(y-k)^2/a^2 - (x-h)^2/b^2=1
Complete the square
(b/2)^2
Non linear systems
substitution
Linear systems
substitution and elimination
arc length
s=theta(r)
Parabola (up/down) vertex
(h, k)
Parabola (up/down) focus
(h, k+p)
Parabola (up/down) directrix
y=k-p
Parabola (sideways) vertex:
(h, k)
Parabola (sideways) focus:
(h+p, k)
Parabola (sideways) directrix:
x=h-p
Ellipse abc
a^2-b^2=c^2
Ellipse (sideways) foci
(h+_c, k)
Ellipse (sideways) vertices
(h+-a, k)
Ellipse (sideways) MM1
(h, k+-b)
Ellipse (up/down) foci
(h, k+-c)
Ellipse (up/down) vertices
(h, k+-a)
Ellipse (up/down) MM1
(h+-b, k)
Hyperbolas abc
a^2+b^2=c^2
Hyperbola (sideways) foci
(h+-c, k)
Hyperbola (sideways) vertices
(h+-a, k)
Hyperbola (sideways) MM1
(h, k+-b)
Hyperbola (sideways) asymptotes
y=+-b/a (x-h)+k
Hyperbola (up/down) foci
(h, k+-c)
Hyperbola (up/down) vertices
(h, k+-a)
Hyperbola (up/down) MM1
(h+-b, k)
Hyperbola (up/down) asympptotes
y=+-a/b (x-h)+k
Area of circle
1/2r^2theta
Note
Flashcard