Unit Circle Flashcards

1
Q

What are the signs in each quadrant

A

Q1: (+, +)
Q2: (-, +)
Q3: (-, -)
Q4: (+, -)

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2
Q

Which part of the unit circle do Arccos, arcsin, and arctan cover

A

Arccos: Top half
Arcsin: Right half inclusive
Arctan: Right half not inclusive

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3
Q

What are the coordinates of the points on the axes and their positive radian measures

A

Right: (1, 0) 0 and 2π
Top: (0, 1) π/2
Left: (-1, 0) π
Bottom: (0, -1) 3π/2

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4
Q

What intervals of degrees do you have to know?

A

30 and 45

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5
Q

Which order do cos and sin go in in ordered pairs

A

(cos, sin)

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6
Q

How to find tan

A

sin/cos

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7
Q

Most common pythagorean identity

A

sin^2 + cos^2 = 1

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8
Q

Denominator 6

A

(√3/2, 1/2)

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9
Q

Denominator 4

A

(√2/2, √2/2)

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10
Q

Denominator 3

A

(1/2, √3/2)

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11
Q

What are the coordinates of the points on the axes and their negative radian measures

A

Right: (1, 0) 0 and 2π
Top: (0, 1) -3π/2
Left: (-1, 0) -π
Bottom: (0, -1) -π/2

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12
Q

Trig functions odd/even

A

Sin: odd
Cos: even
Tan: odd

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13
Q

Q1 radian measures +pattern

A

1π/denom
π/3
π/4
π/6

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14
Q

Q2 radian measures +pattern

A

(Denom-1)π/denom
2π/3
3π/4
5π/6

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15
Q

Q3 radian measures +pattern

A

(Denom+1)π/denom
4π/3
5π/4
7π/6

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16
Q

Q4 radian measures

A

((2denom)-1)π/denom
5π/3
7π/4
11π/6