Additional Formula Flashcards
What is the additional formula for sin(A + B)?
sin(A + B) = sin A cos B + cos A sin B
True or False: The additional formula for cos(A - B) is cos A cos B + sin A sin B.
True
Fill in the blank: The additional formula for tan(A + B) is _____ .
tan(A + B) = (tan A + tan B) / (1 - tan A tan B)
What is the additional formula for cos(A + B)?
cos(A + B) = cos A cos B - sin A sin B
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) sin A cos B - cos A sin B
What is the additional formula for sin(2A)?
sin(2A) = 2 sin A cos A
True or False: The formula for cos(2A) can be expressed as cos^2 A - sin^2 A.
True
What is the additional formula for tan(2A)?
tan(2A) = 2 tan A / (1 - tan^2 A)
Fill in the blank: The additional formula for sin(A + B + C) is _____ .
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
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
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
What is the additional formula for cos(A + B + C)?
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
True or False: The additional formulas can be used to simplify expressions involving trigonometric functions.
True
What is the relationship between sin(A) and cos(90° - A)?
sin(A) = cos(90° - A)
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
B) They can be used for any triangle
Fill in the blank: The additional formula for sin^2 A + cos^2 A = _____ .
1
What is the additional formula for sin(A + B)?
sin(A + B) = sin A cos B + cos A sin B
True or False: The additional formula for cos(A - B) is cos A cos B + sin A sin B.
False
Fill in the blank: The additional formula for tan(A + B) is _____ .
tan(A + B) = (tan A + tan B) / (1 - tan A tan B)
What is the additional formula for cos(A + B)?
cos(A + B) = cos A cos B - sin A sin B
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) sin A cos B - cos A sin B
What is the additional formula for sin(2A)?
sin(2A) = 2 sin A cos A
True or False: The formula for cos(2A) can be expressed as cos^2 A - sin^2 A.
True
What is the additional formula for tan(2A)?
tan(2A) = 2 tan A / (1 - tan^2 A)
Fill in the blank: The additional formula for sin(A + B + C) is _____ .
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
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
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
What is the additional formula for cos(A + B + C)?
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
True or False: The additional formulas can be used to simplify expressions involving trigonometric functions.
True
What is the relationship between sin(A) and cos(90° - A)?
sin(A) = cos(90° - A)
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
B) They can be used for any triangle
Fill in the blank: The additional formula for sin^2 A + cos^2 A = _____ .
1