ap calc formula quiz 1 Flashcards
tan x
sin x / cos x
sec x
1 / cos x
cot x
1 / tan x
csc x
1 / sin x
sin^2 x + cos^2 x=
1
sec^2 x - tan^2 x=
1
2sinxcosx
sin2x
cos^2 x - sin^2 x=
cos2x
sin(-x)=
-sinx
cos(-x)=
cosx
tan(-x)=
-tanx
sin(A+B)=
sin(A)cos(B)+sin(B)cos(A)
cos(A+B)
cos(A)cos(B)-sin(A)sin(B)
sin(A-B)
sin(A)cos(B)-sin(B)cos(A)
cos(A-B)
cos(A)cos(B)+sin(A)sin(B)
distance formula
sqrt (x2-x1)^2+(y2-y1)^2
midpoint formula
((x1+x2/2) + (y1+y2/2))
In(ab)=
In(a) + In(b)
In(a/b)
In(a) - In(b)
In(a^n)=
nIn(a)
In(1/a)
-In(a)
|x|=
x if x>=0 or -x if x<0
π/6
(√3π/2, 1/2)
π/4
(√2/2, √2/2)
π/3
(1/2, √3π/2)
0/2π
(1,0)
π/2
(0,1)
π
(-1,0)
7π/6
(-√3π/2, -1/2)
5π/4
(-√2/2, -√2/2)
3π/2
(0,-1)
4π/3
(-1/2, -√3π/2)
5π/3
(1/2, -√3π/2)
7π/4
(√2/2, -√2/2)
11π/6
(√3π/2, -1/2)
tan (π/6)
√3/3
tan (π/4)
1
tan (π/3)
√3
tan (0 or 2π or π)
0
tan (π/2 or 3π/2)
undefined
hint for tan
so quadrants 1 and 3 are all positive tan values, and quadrants 2 and 4 are negative tan values! search up “unit circle tan” and you can see what i mean
