AP Calculus "The Basics" Quiz Flashcards
1
Q
Quotient: tanθ
A
sinθ/cosθ
2
Q
Quotient: cotθ
A
cosθ/sinθ
3
Q
sinθ
A
1/cscθ
4
Q
cosθ
A
1/secθ
5
Q
tanθ
A
1/cotθ
6
Q
cscθ
A
1/sinθ
7
Q
secθ
A
1/cosθ
8
Q
cotθ
A
1/tanθ
9
Q
Pythagorean Identities
A
sin^2θ + cos^2θ = 1
sec^2θ - tan^2θ = 1
csc^2θ - cot^2θ = 1
10
Q
d/dx(sin x)
A
cos x
11
Q
d/dx(cos x)
A
-sin x
12
Q
d/dx(tan x)
A
sec^2 x
13
Q
d/dx(csc x)
A
-csc x cot x
14
Q
d/dx(sec x)
A
sec x tan x
15
Q
d/dx(cot x)
A
-csc^2 x
16
Q
d/dx(e^x)
A
e^x
17
Q
d/dx log (x)
a
A
1/(x ln(a))
18
Q
d/dx ln(x)
A
1/x
19
Q
d/dx(sin^-1)
A
1/sqrt(1-x^2)
20
Q
d/dx(cos^-1)
A
-1/sqrt(1-x^2)
21
Q
d/dx(tan^-1)
A
1/(1+x^2)
22
Q
d/dx(csc^-1)
A
-1/|x|sqrt(x^2 - 1)
23
Q
d/dx(sec^-1)
A
1/|x|sqrt(x^2 - 1)
24
Q
d/dx(cot^-1)
A
-1/(1+x^2)
25
sin2θ
2sinθcosθ
26
cos2θ
cos^2θ-sin^2θ
2cos^2θ-1
1-2sin^2θ
27
tan2θ
(2tanθ)/(1-tan^2θ)
