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 =

17
Q

When sin=0, csc is

18
Q

When cos=0, sec is

19
Q

π/6

20
Q

π/4

21
Q

π/3

22
Q

π/2

23
Q

2π/3

24
Q

3π/4

25
5π/6
150
26
π
180
27
7π/6
210
28
5π/4
225
29
4π/3
240
30
3π/2
270
31
5π/3
300
32
7π/4
315
33
11π/6
330
34
360
35
y=d+a sin b(x-c)
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