Trig. Identities & Calculus Standard Results Flashcards
1
Q
sin(A+B)=
A
sinAcosB + cosAsinB
2
Q
sin(A-B)=
A
sinAcosB - cosAsinB
3
Q
cos(A+B)=
A
cosAcosB - sinAsinB
4
Q
cos(A-B)=
A
cosAcosB + sinAsinB
5
Q
tan(A+B)=
A
tanA + tanB / 1 - tanAtanB
6
Q
tan(A-B)=
A
tanA - tanB / 1 + tanAtanB
7
Q
sin2A=
A
2sinAcosA
8
Q
cos2A=
A
cos^2A - sin^2A
2cos^2A - 1
1-2sin^2A
9
Q
tan2A=
A
2tanA / 1 - tan^2A
10
Q
sin^2x + cos^2x =
A
1
11
Q
1 + tan^2x =
A
sec^2x
12
Q
1 + cot^2x =
A
cosec^2x
13
Q
secx =
A
1/cosx
14
Q
cosecx =
A
1/sinx
15
Q
cotx =
A
1/tanx
16
Q
tanx =
A
sinx/cosx
17
Q
cotx =
A
cosx/sinx
18
Q
f(x) = sinx
f’(x) =
A
cosx
19
Q
f(x) = cosx
f’(x) =
A
-sinx
20
Q
f(x) = a^x
f’(x) =
A
a^x . ln(a)
21
Q
f(x) = e^x
f’(x) =
A
e^x
22
Q
f(x) = ln(f(x))
f’(x) =
A
f’(x) / f(x)
23
Q
f(x) = f(g(x))
f’(x) =
A
f’(g(x))g’(x)
chain rule
24
Q
f(x) = f(x)g(x)
f’(x) =
A
f’(x)g(x) + f(x)g’(x)
u’v + uv’
product rule
25
f(x) = f(x)/g(x)
f'(x) =
f'(x)g(x) - f(x)g'(x) / (g(x))^2
u'v - uv' / v^2
quotient rule
26
f(x) = tanx
f'(x) =
sec^2(x)
27
f(x) = secx
f'(x) =
sec(x)tan(x)
28
f(x) = cotx
f'(x) =
-cosec^2(x)
29
f(x) = cosecx
f'(x) =
-cosec(x)cot(x)
