Trig Identities Flashcards

1
Q

Derivative of Sinx

A

Cosx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Derivative of cosx

A

-sinx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Derivative of tanx

A

Sec^2x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Derivative of cotx

A

-csc^2x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Derivative of secx

A

Secxtanx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Derivative of cscx

A

-cscx cotx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Derivative of ln(|sec|)

A

tanx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

1- sin^2 = ?

A

Cos^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Tan^2 + 1 = ?

A

Sec^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Cot^2 + 1 = ?

A

Csc^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

a^2 - x^2

A

X = asin(theta)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

a^2 + x^2

A

X= atan(theta)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

x^2 - a^2

A

x = asec(theta)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Sin(u)sin(v)

A

(1/2)(cos(u-v) - cos(u+v))

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Cos(u)cos(v)

A

(1/2)(cos(u-v) + cos(u+v))

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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