Additional Formula Flashcards

1
Q

What is the additional formula for sin(A + B)?

A

sin(A + B) = sin A cos B + cos A sin B

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

True or False: The additional formula for cos(A - B) is cos A cos B + sin A sin B.

A

True

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

Fill in the blank: The additional formula for tan(A + B) is _____ .

A

tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

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

What is the additional formula for cos(A + B)?

A

cos(A + B) = cos A cos B - sin A sin B

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

Multiple Choice: Which of the following is the correct formula for sin(A - B)? A) sin A cos B - cos A sin B B) sin A cos B + cos A sin B C) sin A + sin B

A

A) sin A cos B - cos A sin B

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

What is the additional formula for sin(2A)?

A

sin(2A) = 2 sin A cos A

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

True or False: The formula for cos(2A) can be expressed as cos^2 A - sin^2 A.

A

True

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

What is the additional formula for tan(2A)?

A

tan(2A) = 2 tan A / (1 - tan^2 A)

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

Fill in the blank: The additional formula for sin(A + B + C) is _____ .

A

sin(A + B + C) = sin A cos B cos C + cos A sin B cos C + cos A cos B sin C - sin A sin B sin C

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

Multiple Choice: Which formula represents sin(A + B + C)? A) sin A + sin B + sin C B) sin A cos B cos C + cos A sin B cos C + cos A cos B sin C - sin A sin B sin C C) sin A sin B sin C

A

B) sin A cos B cos C + cos A sin B cos C + cos A cos B sin C - sin A sin B sin C

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

What is the additional formula for cos(A + B + C)?

A

cos(A + B + C) = cos A cos B cos C - sin A sin B cos C - sin A cos B sin C - cos A sin B sin C

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

True or False: The additional formulas can be used to simplify expressions involving trigonometric functions.

A

True

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

What is the relationship between sin(A) and cos(90° - A)?

A

sin(A) = cos(90° - A)

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

Multiple Choice: Which of the following is true about the additional formulas? A) They only apply to right triangles B) They can be used for any triangle C) They are only for angles less than 90 degrees

A

B) They can be used for any triangle

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

Fill in the blank: The additional formula for sin^2 A + cos^2 A = _____ .

A

1

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

What is the additional formula for sin(A + B)?

A

sin(A + B) = sin A cos B + cos A sin B

17
Q

True or False: The additional formula for cos(A - B) is cos A cos B + sin A sin B.

18
Q

Fill in the blank: The additional formula for tan(A + B) is _____ .

A

tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

19
Q

What is the additional formula for cos(A + B)?

A

cos(A + B) = cos A cos B - sin A sin B

20
Q

Multiple Choice: Which of the following is the correct formula for sin(A - B)? A) sin A cos B - cos A sin B B) sin A cos B + cos A sin B C) sin A + sin B

A

A) sin A cos B - cos A sin B

21
Q

What is the additional formula for sin(2A)?

A

sin(2A) = 2 sin A cos A

22
Q

True or False: The formula for cos(2A) can be expressed as cos^2 A - sin^2 A.

23
Q

What is the additional formula for tan(2A)?

A

tan(2A) = 2 tan A / (1 - tan^2 A)

24
Q

Fill in the blank: The additional formula for sin(A + B + C) is _____ .

A

sin(A + B + C) = sin A cos B cos C + cos A sin B cos C + cos A cos B sin C - sin A sin B sin C

25
Q

Multiple Choice: Which formula represents sin(A + B + C)? A) sin A + sin B + sin C B) sin A cos B cos C + cos A sin B cos C + cos A cos B sin C - sin A sin B sin C C) sin A sin B sin C

A

B) sin A cos B cos C + cos A sin B cos C + cos A cos B sin C - sin A sin B sin C

26
Q

What is the additional formula for cos(A + B + C)?

A

cos(A + B + C) = cos A cos B cos C - sin A sin B cos C - sin A cos B sin C - cos A sin B sin C

27
Q

True or False: The additional formulas can be used to simplify expressions involving trigonometric functions.

28
Q

What is the relationship between sin(A) and cos(90° - A)?

A

sin(A) = cos(90° - A)

29
Q

Multiple Choice: Which of the following is true about the additional formulas? A) They only apply to right triangles B) They can be used for any triangle C) They are only for angles less than 90 degrees

A

B) They can be used for any triangle

30
Q

Fill in the blank: The additional formula for sin^2 A + cos^2 A = _____ .