Trigonometric Functions Flashcards

1
Q

What do maximum and minimum mean when talking about periodic functions?

A

The top or the crest and the bottom of the trough for each period.

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2
Q

What does period mean when talking about periodic functions?

A

The length of one cycle (or repetition). So it’s the distance between any two repeating points on the function.

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3
Q

What does amplitude mean (when talking about functions)?

A

The distance from the midpoint (principal axis) to the highest or lowest point of the function.

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4
Q

What do maximum and minimum mean when talking about periodic functions?

A

The top or the crest and the bottom of the trough for each period.

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5
Q

How do you find the tangent of an angle that is *not* part of a right triangle?

A
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6
Q

What is the period of the following functions?

y=AsinB(x-C)+D

y=AcosB(x-C)+D

A
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7
Q

What is the amplitude of the following functions?

y=AsinB(x-C)+D

y=AcosB(x-C)+D

A

The absolute value of A.

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8
Q

What horizontal translation is applied to the standard sine/cosine functions when using the form below?

y=Asin(B(x-C))+D

y=Acos(B(x-C))+D

A

The functions are shifted right by C.

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9
Q

What vertical translation is applied to the standard sine/cosine functions when using the form below?

y=AsinB(x-C)+D

y=AcosB(x-C)+D

A

The functions are shifted up by D.

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