Trig Reference Angles Flashcards

1
Q

Sin (0)

A

0

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2
Q

Sin (30)

A

1/2

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3
Q

Sin (45)

A

√2/2

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4
Q

Sin (60)

A

√3/2

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5
Q

Sin (90)

A

1

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6
Q

Cos (0)

A

1

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7
Q

Cos (30)

A

√3/2

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8
Q

Cos (45)

A

√2/2

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9
Q

Cos (60)

A

1/2

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10
Q

Cos (90)

A

0

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11
Q

Tan (0)

A

0

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12
Q

Tan (30)

A

√3/3

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13
Q

Tan (45)

A

1

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14
Q

Tan (60)

A

√3

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15
Q

Tan (90)

A

Undefined

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16
Q

Tan =

A

Sin/Cos

17
Q

When sin=0, csc is

A

Undefined

18
Q

When cos=0, sec is

A

Undefined

19
Q

π/6

A

30

20
Q

π/4

A

45

21
Q

π/3

A

60

22
Q

π/2

A

90

23
Q

2π/3

A

120

24
Q

3π/4

A

135

25
Q

5π/6

A

150

26
Q

π

A

180

27
Q

7π/6

A

210

28
Q

5π/4

A

225

29
Q

4π/3

A

240

30
Q

3π/2

A

270

31
Q

5π/3

A

300

32
Q

7π/4

A

315

33
Q

11π/6

A

330

34
Q

A

360

35
Q

y=d+a sin b(x-c)

A

a= amplitude
If a is positive, curve is normal. If a is negative, curve is reversed.
If a is greater than 1, it is stretched. If a is less than 1, it is shrunk.

360/b=period
If the period is greater than 360, it is elongated. If the period is less than 360, it is compressed.

c=phase shift
If c is being added, phase shifts left. If phase is being subtracted, phase shifts right.

d=vertical translation
If d is positive, graph moves up. If d is negative, graph moves down.
Range of the function is [-a,a] with d added or subtracted when necessary