Trigonometry Flashcards Preview

SQA Maths > Trigonometry > Flashcards

Flashcards in Trigonometry Deck (28):
1

1 radian -- in degrees

180 / π degrees

2

2 π radians -- in degrees

360º

3

cos (A + B)

cos A cos B - sin A sin B

4

cos (A - B)

cos A cos B + sin A sin B

5

cos 2A -- (sin form)

1 - 2sin² A

6

cos 2A -- (cos form)

2cos² A - 1

7

cos 2A -- (both)

cos² A - sin² A

8

cos 30º

sqrt(3) / 2

sqrt is an abbreviation for "square root"

9

cos 45º

1 / sqrt(2)

sqrt is an abbreviation for "square root"

10

cos 60º

1/2

11

cos x

adjacent / hypotenuse

12

sin (A + B)

sin A cos B + cos A sin B

13

sin (A - B)

sin A cos B - cos A sin B

14

sin 2A

2 sin A cos A

15

sin 30º

1/2

16

sin 45º

1 / sqrt(2)

sqrt is an abbreviation for "square root"

17

sin 60º

sqrt(3) / 2

sqrt is an abbreviation for "square root"

18

sin x

opposite / hypotenuse

19

tan 30º

1 / sqrt(3)

sqrt is an abbreviation for "square root"

20

tan 45º

1

21

tan 60º

1 / sqrt(3)

sqrt is an abbreviation for "square root"

22

tan x

opposite / adjacent

23

xº -- in radians

(π / 180) * x radians

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

24

x radians -- in degrees

(180 / π) * x degrees

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

25

amplitude (trig)

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

(max - min)/2

26

period (trig)

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

frequency (trig)

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

28

phase angle

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.