27 terms

Algebra 2 Chapter 12

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Sine θ
opposite/hypotenuse, y/r
Cosine θ
adjacent/hypotenuse, x/r
Tangent θ
opposite/adjacent, y/x
Cosecant θ
hypotenuse/opposite, r/y
Secant θ
hypotenuse/adjacent, r/x
Cotangent θ
adjacent/opposite, x/y
Coterminal Angles
two angles in standard position that have the same terminal side
Initial Side
the fixed ray of an angle
Period
the least possible value of a for which f(x)=f(x+a)
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
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 π/(180°)
Convert Radians to Degrees
The number of radians times 180°/π
Arc Length
s=rθ
angle of depression
The angle between a horizontal line and the line of sight from the observer to an object at a lower level
angle of elevation
The angle between a horizontal line and the line of sight from the observer to an object at a higher level
arcsine
The inverse of y = sine x, written as sin-¹
arccosine
The inverse of y = cosine x, written as cos-¹
arctangent
The inverse of y = tangent x, written as tan-¹
circular function
A function defined using a unit circle.
Law of Cosines
a² = b² + c² -2bcCos A
Law of Sines
sin(A)/a = sin(B)/b = sin(C)/c
quadrantal angle
an angle in standard position whose terminal side coincides with one of the axes.