Y13 Trigs Flashcards

1
Q

sin²x + cos²x =

A

1

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

tanx =

A

sinx/ cosx

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

secx =

A

1/ cosx

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

cosecx =

A

1/ sinx

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

cotx =

A

1/ tanx = cosx/ sinx

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

sec²x =

A

1 + tan²x

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

cosec²x =

A

1 + cot²x

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

sin2A =

A

2sinAcosA

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

cos2A =

3 diff. forms

A
  1. 1- 2sin²A
  2. 2cos²A -1
  3. cos²A - sin²A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

tan2A =

A

2tanA/ 1-tan²A

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

sin(A±B) =

A

sinAcosB ± cosAsinB

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

cos(A±B) =

A

cosAcosB ∓ sinAsinB

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

tan(A±B) =

A

tanA ± tanB / 1 ∓ tanAtanB

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

chain rule

A

n × f’(x) × [f(x)]ⁿ⁻¹

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

product rule

A

y = uv
dy/dx= u(dv/dx) + v(du/dx)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

quotient rule

A

y=u/v
dy/dx= [ v(du/dx) - u(dv/dx) ] / v²

17
Q

differentiate eᶠ⁽ˣ⁾

A

f’(x) eᶠ⁽ˣ⁾

18
Q

differentiate ln f(x)

A

f’(x) / f(x)

19
Q

differentiate aˣ
(a is a constant)

A

aˣ ln a

20
Q

differentiate sinkx

A

+ kcoskx

21
Q

difrerentiate coskx

A

- ksinkx

22
Q

differentiate tankx

A

+ ksec²kx

23
Q

differentiate cotkx

A

- kcosec²kx

24
Q

differentiate seckx

A

+ kseckx tankx

25
Q

differentiate coseckx

A

- kcoseckx cotkx