10/25/22 - Sine and Cosine Transformations Flashcards
What are the domain and range of sin(θ) and cos(θ)?
Domain: (-∞, ∞)
Range: [-1, 1]
What is the y-intercept of sin(θ)?
(0, 0)
What is the y-intercept of cos(θ)?
(0, 1)
Is sin(θ) an even or odd function?
Odd
Is cos(θ) an even or odd function?
Even
Say a circle has radius A and is centered at the point (h, k). Let (p, q) be a point on the circle making an angle θ. What is the value of p?
p = Acos(θ) + h
Say a circle has radius A and is centered at the point (h, k). Let (p, q) be a point on the circle making an angle θ. What is the value of q?
q = Asin(θ) + k
Which vertical transformation affects the midline of sine and cosine?
Shift
Which vertical transformation affects the amplitude of sine and cosine?
Stretch