Trig Identities Flashcards
1
Q
Derivative of Sinx
A
Cosx
2
Q
Derivative of cosx
A
-sinx
3
Q
Derivative of tanx
A
Sec^2x
4
Q
Derivative of cotx
A
-csc^2x
5
Q
Derivative of secx
A
Secxtanx
6
Q
Derivative of cscx
A
-cscx cotx
7
Q
Derivative of ln(|sec|)
A
tanx
8
Q
1- sin^2 = ?
A
Cos^2
9
Q
Tan^2 + 1 = ?
A
Sec^2
10
Q
Cot^2 + 1 = ?
A
Csc^2
11
Q
a^2 - x^2
A
X = asin(theta)
12
Q
a^2 + x^2
A
X= atan(theta)
13
Q
x^2 - a^2
A
x = asec(theta)
14
Q
Sin(u)sin(v)
A
(1/2)(cos(u-v) - cos(u+v))
15
Q
Cos(u)cos(v)
A
(1/2)(cos(u-v) + cos(u+v))
16
Q
Sin(u)cos(v)
A
(1/2)(sin(u+v) + sin(u-v))
17
Q
Cos(u)sin(v)
A
(1/2)(sin(u+v) - sin(u-v))
18
Q
Law of cooling (y ’ form)
A
y ‘ = -k(y - t°)
19
Q
Law of cooling (general form)
A
y= t° + Ce^(-kt)
20
Q
Continuous Annuity (general form)
A
P(t) = (N/r) + Ce^(rt)
21
Q
Logistics equation
A
P ‘(t) = kP(t)(M-P(t))
22
Q
Population model
A
P = (CMe^(kMt)) / (1+ Ce^(kMt))
23
Q
Sin(2 theta)
A
2sin(x) cos(x)
24
Q
Cos(2x)
A
Cos^2x - sin^2x
