UNIT CIRCLE, SIN, COS, SECTOR VOCAB REVIEW

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21 Terms

1

revolution

a common unit for measuring very large angles; 1 revolution is a complete circular motion

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2

degree

a common unit for measuring smaller angles; 1 revolution = 360°

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3

radian measure

another way to measure small angles

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4

angle in standard position

has a vertex at the origin and the initial ray lies on the positive x-axis

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5

quadrantal angles

where the circle intersects the x and y-axis

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6

coterminal angles

two angles in standard position that have the same terminal ray

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7

sector

the region bounded by the central angle and the intercepted arc

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8

arc length

a fraction of the circumference

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9

reference angles

angles in different quadrants that have the same trig ratios [although the signs may be different]

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10

initial ray

the starting ray

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11

terminal ray

the ray created after moving by θ

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12

arc length in radian

s=θr

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13

arc length in degrees

s=(θ/180°)πr

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14

area of a sector w/radians

k=½θr²

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15

area of a sector w/degrees

k=(θ/360°)πr²

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16

area of a sector w/arc length & radius

k=½sr

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17

sinθ

y; y/r

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18

cosθ

x; x/r

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19

equation of unit circle

x² + y² = r²

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20

degree to radians

___° × (π/180°)

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21

radians to degrees

___ rad × (180°/π)

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