Trigonometry Flashcards

1
Q

1 radian – in degrees

A

180 / π degrees

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2
Q

2 π radians – in degrees

A

360º

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3
Q

cos (A + B)

A

cos A cos B - sin A sin B

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4
Q

cos (A - B)

A

cos A cos B + sin A sin B

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5
Q

cos 2A – (sin form)

A

1 - 2sin² A

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6
Q

cos 2A – (cos form)

A

2cos² A - 1

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7
Q

cos 2A – (both)

A

cos² A - sin² A

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8
Q

cos 30º

A

sqrt(3) / 2

sqrt is an abbreviation for “square root”

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9
Q

cos 45º

A

1 / sqrt(2)

sqrt is an abbreviation for “square root”

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10
Q

cos 60º

A

1/2

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11
Q

cos x

A

adjacent / hypotenuse

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12
Q

sin (A + B)

A

sin A cos B + cos A sin B

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13
Q

sin (A - B)

A

sin A cos B - cos A sin B

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14
Q

sin 2A

A

2 sin A cos A

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15
Q

sin 30º

A

1/2

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16
Q

sin 45º

A

1 / sqrt(2)

sqrt is an abbreviation for “square root”

17
Q

sin 60º

A

sqrt(3) / 2

sqrt is an abbreviation for “square root”

18
Q

sin x

A

opposite / hypotenuse

19
Q

tan 30º

A

1 / sqrt(3)

sqrt is an abbreviation for “square root”

20
Q

tan 45º

A

1

21
Q

tan 60º

A

1 / sqrt(3)

sqrt is an abbreviation for “square root”

22
Q

tan x

A

opposite / adjacent

23
Q

xº – in radians

A

(π / 180) * x radians

* is often used to denote multiplication to avoid confusion with x

24
Q

x radians – in degrees

A

(180 / π) * x degrees

* is often used to denote multiplication to avoid confusion with x

25
Q

amplitude (trig)

A

The ampiltude of a trigonmetric function is half the distance between the minimum and maximum values.

(max - min)/2

26
Q

period (trig)

A

For a repeating function like y = sin x, or y = cos x, the period is the horizontal length of one complete wave or cycle.

27
Q

frequency (trig)

A

The number of cycles a trig function completes in a given interval, usually 360º or 2π radians for the sine or cosine functions.

28
Q

phase angle

A

In y = sin (x + d), the constant d, controls the distance the graph of y = sin x is shifted along the x-axis.

If d is positive the shift is to the left. If d is negative the shift is to the right.