Topic 5 Flashcards

1
Q

What is sin(2A)

A

2(sinAcosA)

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

What is cos(2A)

A

cos^2(A)-sin^2(A)

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

What is the other two variants if cos(2A)

A

2cos^2A-1
1-2sin^2A

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

sin(A+B)

A

sinAcosB+cosAsinB

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

sin(A-B)

A

sinAcosB-cosAsinB

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

cos(A+B)

A

cosAcosB-sinAsinB

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

cos(A-B)

A

cosAcosB+sinAsinB

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

tan(A+B)

A

(tanA+tanB)/1-tanAtanB

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

tan(A-B)

A

(tanA-tanB)/1+tanAtanB

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

What is tan(2A)

A

(2tanA)/1-tan^2A

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

Identity with sin^2 and cos^2

A

sin^2x + cos^2x = 1

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

Identity with tan^2x and sec^2x

A

tan^2x + 1 = sec^2x

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

Identity with cot^2x cosec^2x

A

1 + cot^2x = cosec^2x

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

What is the small angle approximation for cos θ

A

1 - (θ^2)/2

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

What is the small angle approximation for sin θ

A

θ

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

What is the small angle approximation for tan θ

A

θ

17
Q

What are the conditions for small angle approximation

A

The angle must be small
The angle must be in radians

18
Q

What is cosecant x

A

1/sin x

19
Q

What is secant x

A

1/cos x

20
Q

What is cotangent x

A

1/tan x

21
Q

What is arcsin x

A

sin^-1 x

22
Q

What is arcos x

A

cos^-1 x

23
Q

What is arctan x

A

tan^-1 x