Chapter 4 Precalc Flashcards

1
Q

Basic Sine Function

A
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2
Q

Basic Cosine Function

A
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3
Q

Degree to Radian Conversion

A
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4
Q

The Trigometric Functions

A
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5
Q

Adjacent, Hypotenuse, and Opposite Convert to

A

Adjacent=x

Hypotenuse=r

Opposite=y

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6
Q

45 45 90

A
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7
Q

30 60 90

A
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8
Q

Where are trig functions positive?

A
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9
Q

A positive angle goes

A

counterclockwise

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10
Q

A negative angle goes

A

clockwise

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11
Q

Trig functions of real numbers

A
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12
Q

Sinusoid Formula

A
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13
Q

Amplitude of a Sinusoid

A

IaI

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14
Q

Period of a Sinusoid

A
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15
Q

Frequency of a Sinusoid

A
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16
Q

Phase shift of a sinusoid

A

phase shift=c

17
Q

Tan Function

A
18
Q

Unlike the sinusoids the tan function has a denominator

A

that might be zero, which makes the function undefined

19
Q

tan x=

A

sin x/ cos x

20
Q

the period of a tangent function is

A

π/ lbl

21
Q

The Cotangent Function (reciprocal of the tangent function) and has asymptotes at zeros of the sine function

A
22
Q

The Secant Function (Reciprocal of the cosine function)

A
23
Q

The Cosecant Function (reciprocal of the sine function)

A
24
Q

for the sum to be a sinusoid the periods of two sinusoids to be added together must be

A

the same and the sum must have the same sum

25
Q

dampened oscillation

A

when oscillation reduces the amplitude of the wave

26
Q

f(x) in dampened oscillation is called

A

the dampening factor

27
Q

The values of y=sin-1 x will always be found

A

on the right hand side of the unit circle between -π/2 and π/2

28
Q

The values of y=cos-1 x will always be found

A

on the top half of the unit circle, between 0 and π

29
Q

The values of y=tan-1 x will always be found

A

on the right-hand side of the unit circle, between (but not including) -π/2 and π/2

30
Q

angle of depression

A

closest to view on top

31
Q

angle of elevation

A

bottom next to viewer facing up

32
Q

simple harmonic motion formula

A
33
Q

in simple harmonic motion, frequency is

A

ω/2π

34
Q

1/2 of a hypotenuse is equal to

A

side opposite of 30

35
Q
A