27 terms

jilllenzTEACHER

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

"a"

tan: undefined

cos, sin: IaI

period formula

y = a sin b(θ-h) + k

tan: 180/IbI

cos/sin: 360/IbI

tan: 180/IbI

cos/sin: 360/IbI

phase shift formula

y = a sin b(θ-h) + k

"h"

"h"

vertical shift formula

y = a sin b(θ-h) + k

"k"

"k"