UNIT CIRCLE, SIN, COS, SECTOR VOCAB REVIEW

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21 Terms

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revolution
a common unit for measuring very large angles; 1 revolution is a complete circular motion
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degree
a common unit for measuring smaller angles; 1 revolution = 360°
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radian measure
another way to measure small angles
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angle in standard position
has a vertex at the origin and the initial ray lies on the positive x-axis
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quadrantal angles
where the circle intersects the x and y-axis
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coterminal angles
two angles in standard position that have the same terminal ray
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sector
the region bounded by the central angle and the intercepted arc
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arc length
a fraction of the circumference
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reference angles
angles in different quadrants that have the same trig ratios \[although the signs may be different\]
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initial ray
the starting ray
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terminal ray
the ray created after moving by θ
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arc length in radian
s=θr
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arc length in degrees
s=(θ/180°)πr
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area of a sector w/radians
k=½θr²
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area of a sector w/degrees
k=(θ/360°)πr²
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area of a sector w/arc length & radius
k=½sr
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sinθ
y; y/r
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cosθ
x; x/r
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equation of unit circle
x² + y² = r²
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degree to radians
___° × (π/180°)
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radians to degrees
___ rad × (180°/π)