10/25/22 - Sine and Cosine Transformations Flashcards

1
Q

What are the domain and range of sin(θ) and cos(θ)?

A

Domain: (-∞, ∞)
Range: [-1, 1]

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2
Q

What is the y-intercept of sin(θ)?

A

(0, 0)

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3
Q

What is the y-intercept of cos(θ)?

A

(0, 1)

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4
Q

Is sin(θ) an even or odd function?

A

Odd

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5
Q

Is cos(θ) an even or odd function?

A

Even

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6
Q

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?

A

p = Acos(θ) + h

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7
Q

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?

A

q = Asin(θ) + k

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8
Q

Which vertical transformation affects the midline of sine and cosine?

A

Shift

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9
Q

Which vertical transformation affects the amplitude of sine and cosine?

A

Stretch

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