Trigonometry Flashcards

1
Q

What is k for sine and cosine graphs

A

The amplitude

for sine and cosine graph, scale factor for tan graph

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2
Q

What is the amplitude

A

The height from the centre of the periodic function to the maximum or minimum value

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3
Q

What is a vertical dilatation of y=f(x)

A

y= k x f(x) with scale factor k

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4
Q

If k>0…

A

graph is stretched vertically

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5
Q

If 0

A

graph is compressed vertically

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6
Q

If k = -1…

A

Function reflected in x-axis

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7
Q

What is a horizontal dilation of y=f(x)

A

y=f(ax) with scale factor 1/a

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8
Q

What is a period

A

the length of one cycle of periodic function on the x-axis

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9
Q

Period of sin and cos

A

2pi/a

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10
Q

Period of tan

A

pi/a

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11
Q

If a>0

A

function is compressed horizontally

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12
Q

If 0<a></a>

A

function is stretched horizontally

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13
Q

If a = -1

A

reflected in y-axis

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