Graphs of Sine and Cosine Functions Flashcards by Landry Woodward | Brainscape

Q

Domain of sin(x)

A

(-infinity, infinity)

same for cosine

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Q

Range of sin(x)

A

[-1,1]

same for cosine

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Q

y=sin(x) & y=cos(x)

A

one cycle

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Q

sin(x) starts at…

A

starts at local min

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Q

cos(x) starts at…

A

start at local max

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Q

equation for sin/cos graphing

A

y=asin/cos(bx-c)+d

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Q

vertical shift (y)

A

y=d (midline)

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Q

amplitude (a)

A

stretch/shrink; height above or below midline

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Q

period

A

2pi/b

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Q

phase shift (vertical shift)

A

c/d

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Q

keypoint

one cycle starts when

A

x=c/b (phase shift)

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Q

keypoint

one cycle starts when

A

x=c/b (phase shift)

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Q

keypoints

one cycle ends

A

x=(c+2pi)/d (period)

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Q

midpoint

A

(x1 + x2)/2

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Q

width of quarter cycle (add to get next value of keypoint)

A

pi/2b

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