ap calc formula quiz 1 Flashcards
(41 cards)
1
Q
tan x
A
sin x / cos x
2
Q
sec x
A
1 / cos x
3
Q
cot x
A
1 / tan x
4
Q
csc x
A
1 / sin x
5
Q
sin^2 x + cos^2 x=
A
1
6
Q
sec^2 x - tan^2 x=
A
1
7
Q
2sinxcosx
A
sin2x
8
Q
cos^2 x - sin^2 x=
A
cos2x
9
Q
sin(-x)=
A
-sinx
10
Q
cos(-x)=
A
cosx
11
Q
tan(-x)=
A
-tanx
12
Q
sin(A+B)=
A
sin(A)cos(B)+sin(B)cos(A)
13
Q
cos(A+B)
A
cos(A)cos(B)-sin(A)sin(B)
14
Q
sin(A-B)
A
sin(A)cos(B)-sin(B)cos(A)
15
Q
cos(A-B)
A
cos(A)cos(B)+sin(A)sin(B)
16
Q
distance formula
A
sqrt (x2-x1)^2+(y2-y1)^2
17
Q
midpoint formula
A
((x1+x2/2) + (y1+y2/2))
18
Q
In(ab)=
A
In(a) + In(b)
19
Q
In(a/b)
A
In(a) - In(b)
20
Q
In(a^n)=
A
nIn(a)
21
Q
In(1/a)
A
-In(a)
22
Q
|x|=
A
x if x>=0 or -x if x<0
23
Q
π/6
A
(√3π/2, 1/2)
24
Q
π/4
A
(√2/2, √2/2)
25
π/3
(1/2, √3π/2)
26
0/2π
(1,0)
27
π/2
(0,1)
28
π
(-1,0)
29
7π/6
(-√3π/2, -1/2)
30
5π/4
(-√2/2, -√2/2)
31
3π/2
(0,-1)
32
4π/3
(-1/2, -√3π/2)
33
5π/3
(1/2, -√3π/2)
34
7π/4
(√2/2, -√2/2)
35
11π/6
(√3π/2, -1/2)
36
tan (π/6)
√3/3
37
tan (π/4)
1
38
tan (π/3)
√3
39
tan (0 or 2π or π)
0
40
tan (π/2 or 3π/2)
undefined
41
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
