27 terms

Algebra II: Chapter 12 Vocabulary

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Sine θ
opposite/hypotenuse
Cosine θ
adjacent/hypotenuse
Tangent θ
opposite/adjacent
Cosecant θ
hypotenuse/opposite
Secant θ
hypotenuse/adjacent
Cotangent θ
adjacent/opposite
Amplitude
for functions in the form y=asin b θ or y=acos b θ the amplitude is |a|
Coterminal Angles
two angles in standard position that have the same terminal side
Initial Side
the fixed ray of an angle
Midline
a horizontal axis used as the reference line about which the graph of a periodic function oscillates.
Period
the least possible value of a for which f(x)=f(x+a)
Phase Shift
a horizontal translation of a trigonometric function
Reference Angle
the acute angle formed by the terminal side of θ in standard position and the x-axis
Standard Position
the angle positioned so that its vertex is at the origin and its initial side is along the positive x-axis
Terminal Side
a ray of an angle that rotates about the center
Unit Circle
a circle of radius 1 whose center is at the origin of the coordinate system
Vertical Shift
When graphs of a trigonometric functions are translated vertically.
Frequency
the number of cycles in a given unit of time
Cycle
one complete pattern of a periodic function
radian
the measure of an angle θ in standard position whose rays intercept an arc of length 1 unit on the unit circle
Convert Degrees to Radians
The degree of the angle times radians/(180°)
Convert Radians to Degrees
The number of radians times (180°)/radians
Arc Length
s=rθ
amplitude formula
y = a sin b(θ-h) + k
"a"

tan: undefined
cos, sin: IaI
period formula
y = a sin b(θ-h) + k

tan: 180/IbI
cos/sin: 360/IbI
phase shift formula
y = a sin b(θ-h) + k
"h"
vertical shift formula
y = a sin b(θ-h) + k
"k"