Trigonometry II Flashcards

Unit Circle and Terminal/Coterminal Angles

1
Q

What is the unit circle?

A

It is a circle with a radius of 1 centered at the origin.

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2
Q

What is the x-coordinate and the y-coordinate, respectively?

A

cos and sin

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3
Q

The length of the ________ is the length of the _______.

A

radius, hypotenuse

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4
Q

When you make the denominator of a fraction smaller, you make the fraction _______.

A

larger

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5
Q

A full rotation of a circle is _____.

A

360 degrees

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6
Q

What are the signs for (cos, sin) in Quadrant 1?

A

+, + (All positive)

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7
Q

Up until what degrees are in Quadrant 1 (line of π/2 included)?

A

90 degrees

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8
Q

What are the signs of (cos, sin) in Quadrant 2?

A

-,+ (Sin positive)

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9
Q

Up until what degrees are in Quadrant 2 (line of π included)?

A

180 degrees

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10
Q

What are the signs of (cos, sin) in Quadrant 3?

A

-,- (Tan positive)

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11
Q

Up until what degrees are in Quadrant 3 (line of 3π/2 included)?

A

270 degrees

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12
Q

What are the signs of (cos, sin) in Quadrant 4?

A

+,- (Cos positive)

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13
Q

What is the terminal ray (or side)?

A

The terminal ray (or side) is the final position of the line that was rotated.

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14
Q

What is the initial side?

A

The initial side is the starting position of the line to be rotated.

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15
Q

What are coterminal angles?

A

They are angles that land on the exact same point on the graph. The difference between them is 360 degrees.

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16
Q

How do you find the reference angle in the quadrants?

A

Quad 1 = θ1
Quad 2 = 180 - θ2
Quad 3 = θ3 - 180
Quad 4 = 360 - θ4

17
Q

What are the coordinates for the values with π/6?

A

(√3/2, 1/2)

18
Q

What are the coordinates for the values with π/4?

A

(√2/2, √2/2)

19
Q

What are the coordinates for the values with π/3?

A

(1/2, √3/2)