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Mathematics > The Unit Circle and Trigonometry > Flashcards

The Unit Circle and Trigonometry Flashcards

1
Q

What quadrant can you locate the angle 225 degrees?

A

Quadrant 3

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2
Q

What quadrant can you locate the angle 315 degrees?

A

Quadrant 4

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3
Q

What is the radian equivalent of 135 degrees?

A

3pie/4

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4
Q

What is the Big 4 Angles and their radian equivalents?

A

• 0 degrees = 2pie
• 90 degrees = pie/2
• 180 degrees = pie
• 270 degrees =3pie/2

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5
Q

What are the 2nd Sequence of angles when completing the unit circle?

A

• 45 degrees
• 135 degrees
• 225 degrees
• 315 degrees

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6
Q

What is the 3rd Sequence of Angles when completing the unit circle?

A

•30 degrees
•60 degrees
•120 degrees
•150 degrees
• 210 degrees
• 240 degrees
• 300 degrees
•330 degrees

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7
Q

After adding “pie” to every angle except the big 4 what is the number sequence needed for Quadrant 2, 3, and 4?

A

Q2&raquo_space; 2,3,5
Q3&raquo_space; 7,5,4
Q4&raquo_space; 5,7,11

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8
Q

What are the three sequence of numbers needed for the denominator of every radian except the big 4?

A

/3,/4,/6

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9
Q

Which quadrant is being stated?

Cosine is positive

A

Quadrant 4

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10
Q

Which quadrant is being stated?

Sine is positive

A

Quadrant 2

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11
Q

Which quadrant is being stated?

Tangent is positive

A

Quadrant 3

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12
Q

Which quadrant is being stated?

All sine, cosine, and tangent are positive

A

Quadrant 1

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13
Q

Is cosine 225 degrees positive?

A

No, it is negative

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14
Q

Is cosine 300 degrees positive?

A

Yes, it is Positive

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15
Q

Is cosine 33 degrees negative?

A

No it is positive

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16
Q

Which angle is being stated?

11pie/6

A

330 degrees

17
Q

Which angle is being stated?

5pie/6

A

150 degrees

18
Q

Which trigonometric functions is associated with the x value?

19
Q

Which trigonometric functions is associated with the y value?

20
Q

What are the three angles associated in Quadrant 4?

Name their radian equivalent as well

A

•300 degrees
• 315 degrees
• 330 degrees

• 5pie/3
• 7pie/4
• 11pie/6

21
Q

What are the three angles associated in Quadrant 2?

Name their radian equivalent as well

A

• 120 degrees
• 135 degrees
• 150 degrees

• 2pie/3
• 3pie/4
• 5pie/6

22
Q

What are the three angles associated in Quadrant 3?

Name their radian equivalent as well

A

• 210 degrees
• 225 degrees
• 250 degrees

• 7pie/6
• 5pie/4
• 4pie/3

23
Q

What are the three angles associated in Quadrant 1?

Name their radian equivalent as well

A

•30 degrees
•45 degrees
•60 degrees

•pie/3
•pie/4
•pie/6

24
Q

Longest line in a right triangle

A

Hypothenuse

25
Q

What are the six Trigonometric functions?

A

Sine

Cosine

Tangent

Secant

Cosecant

Cotangent

26
Q

What does SOH CAH TOA stands for?

A

Sine = Opposite/Hypothenuse

Cosine = Adjacent/Hypothenuse

Tangent = Opposite/Hypothenuse

27
Q

What is the Pythagorean Theorem?

A

a^2 + b^2 = c^2

Mathematics (7 decks)

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