Trig Flashcards

1
Q

What is the exact value of sin(0°)?

A

0

The sine of 0 degrees is 0.

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2
Q

What is the exact value of sin(30°)?

A

1/2

The sine of 30 degrees is 1/2.

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3
Q

What is the exact value of sin(45°)?

A

√2/2

The sine of 45 degrees is √2/2.

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4
Q

What is the exact value of sin(60°)?

A

√3/2

The sine of 60 degrees is √3/2.

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5
Q

What is the exact value of sin(90°)?

A

1

The sine of 90 degrees is 1.

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6
Q

What is the exact value of cos(0°)?

A

1

The cosine of 0 degrees is 1.

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7
Q

What is the exact value of cos(30°)?

A

√3/2

The cosine of 30 degrees is √3/2.

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8
Q

What is the exact value of cos(45°)?

A

√2/2

The cosine of 45 degrees is √2/2.

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9
Q

What is the exact value of cos(60°)?

A

1/2

The cosine of 60 degrees is 1/2.

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10
Q

What is the exact value of cos(90°)?

A

0

The cosine of 90 degrees is 0.

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11
Q

What is the exact value of tan(0°)?

A

0

The tangent of 0 degrees is 0.

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12
Q

What is the exact value of tan(30°)?

A

√3/3

The tangent of 30 degrees is √3/3.

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13
Q

What is the exact value of tan(45°)?

A

1

The tangent of 45 degrees is 1.

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14
Q

What is the exact value of tan(60°)?

A

√3

The tangent of 60 degrees is √3.

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15
Q

What is the exact value of tan(90°)?

A

undefined

The tangent of 90 degrees is undefined.

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16
Q

What is the exact value of sin(0 radians)?

A

0

The sine of 0 radians is 0.

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17
Q

What is the exact value of sin(π/6 radians)?

A

1/2

The sine of π/6 radians is 1/2.

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18
Q

What is the exact value of sin(π/4 radians)?

A

√2/2

The sine of π/4 radians is √2/2.

19
Q

What is the exact value of sin(π/3 radians)?

A

√3/2

The sine of π/3 radians is √3/2.

20
Q

What is the exact value of sin(π/2 radians)?

A

1

The sine of π/2 radians is 1.

21
Q

What is the exact value of cos(0 radians)?

A

1

The cosine of 0 radians is 1.

22
Q

What is the exact value of cos(π/6 radians)?

A

√3/2

The cosine of π/6 radians is √3/2.

23
Q

What is the exact value of cos(π/4 radians)?

A

√2/2

The cosine of π/4 radians is √2/2.

24
Q

What is the exact value of cos(π/3 radians)?

A

1/2

The cosine of π/3 radians is 1/2.

25
Q

What is the exact value of cos(π/2 radians)?

A

0

The cosine of π/2 radians is 0.

26
Q

What is the exact value of tan(0 radians)?

A

0

The tangent of 0 radians is 0.

27
Q

What is the exact value of tan(π/6 radians)?

A

1/√3 or √3/3

The tangent of π/6 radians is 1/√3.

28
Q

What is the exact value of tan(π/4 radians)?

A

1

The tangent of π/4 radians is 1.

29
Q

What is the exact value of tan(π/3 radians)?

A

√3

The tangent of π/3 radians is √3.

30
Q

What is the exact value of tan(π/2 radians)?

A

undefined

The tangent of π/2 radians is undefined.

31
Q

What is the conversion of 0 radians to degrees?

32
Q

What is the conversion of π/6 radians to degrees?

A

30 degrees

33
Q

What is the conversion of π/4 radians to degrees?

A

45 degrees

34
Q

What is the conversion of π/3 radians to degrees?

A

60 degrees

35
Q

What is the conversion of π/2 radians to degrees?

A

90 degrees

36
Q

What is the conversion of π radians to degrees?

A

180 degrees

37
Q

What is the conversion of 3π/2 radians to degrees?

A

270 degrees

38
Q

What is the conversion of 2π radians to degrees?

A

360 degrees

39
Q

What is the formula to convert radians to degrees?

A

Degrees = Radians × (180/π)

40
Q

What is the formula to convert degrees to radians?

A

Radians = Degrees × (π/180)

41
Q

What are the symmetry identities for cos?

A
  • Cos(0) = cos(-0)
  • -cos(0) = cos(180-0)
  • cos(0) = cos(360+0)
42
Q

What are the symmetry identities for sin?

A
  • -sin(0) = sin(-0)
  • sin(0) = sin(180-0)
  • sin(0) = sin(360+0)
43
Q

What is the tan identity?

A
  • sin(0) / cos(0)
44
Q

What are the Pythagorean identities?

A
  • cos^2(0) + sin^2(0) = 1
  • 1+ tan^2(0) = sec^2(0)
  • cot^2(0) + 1 = cosec^2(0)