Linear Combinations Flashcards
(7 cards)
1
Q
What is a cos(x) + b sin(x) in cosine R-form?
A
a cos(x) + b sin(x) = r cos(x − α)
2
Q
In r cos(x − α), what is r?
A
r = √(a² + b²)
3
Q
In r cos(x − α), what is cos(α)?
A
cos(α) = a / r
4
Q
In r cos(x − α), what is sin(α)?
A
sin(α) = b / r
5
Q
What is a cos(x) + b sin(x) in sine R-form?
A
a cos(x) + b sin(x) = r sin(x + β)
6
Q
In r sin(x + β), what is sin(β)?
A
sin(β) = a / r
7
Q
In r sin(x + β), what is cos(β)?
A
cos(β) = b / r
