Big Ideas Algebra 2 Chapter 9

Big Ideas Algebra 2 Chapter 9

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Section 1

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Negative in Quad 3

Front

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Cards (29)

Section 1

(29 cards)

Negative in Quad 3

Front

Sine, Cosecant, Cosine, Secant

Back

Positive In Quad 2

Front

Sine and Cosecant

Back

Negative In Quad 1

Front

None

Back

The shortest repeating position of the graph of a periodic function

Front

cycle

Back

The horizontal line y=k in which the graph of a periodic function oscillates; Ex: The midline of g(x)= 2sin 4x+3 is y=3

Front

Midline

Back

One-half the difference of the miximum value and the minimum value of the graph of a trigonometric funtion, amplitude=1/2[1-(-1)]=1

Front

amplitude

Back

Negative in Quad 2

Front

Tangent, Cotangent, Cosine, Secant

Back

The number of cycles per unit of time, which is the reciprocal of the period; Example: The period of sin 2π is π, so the frequency is 1/π

Front

frequency

Back

Positive in Quad 3

Front

Tangent, Cotangent

Back

A trigonometric function for an acute angle θ of a right triangle, denoted by cscθ= hypotenuse/opposite

Front

cosecant

Back

The angle measure of a sector of a circle formes by two radii

Front

central angle

Back

For a circle with radius r, the measure of an angle in standard position whose terminal side intercepts an arc of length r is one radian.

Front

Radian

Back

A trigonometric funtion for an acute angle θ of a right triangle, denoted by cotθ= adjacent/opposite

Front

cotangent

Back

The fixed ray of an angle in standard position in a coordinate plane

Front

Initial Side

Back

Positive in Quad 1

Front

All

Back

Negative in Quad 4

Front

Tangent, cotangent, sine, cosecant

Back

A trignometric function for an acute angle 𝛳 of a right angle, denoted by sec 𝛳 = hypotenuse/ajacent

Front

Secant

Back

An angle in a coordinate plane such that its vertex is at the origin and its initial side lies on the positive x-axis

Front

Standard Position

Back

A ray of an angle in standard position that has been rotated about the vertex in a coordinate plane

Front

Terminal side

Back

A trigonometric function for an acute angle 𝛳 of a right triangle, denoted by tan𝛳 = opposite/adjacent

Front

Tangent

Back

Positive in Quad 4

Front

Cosine, Secant

Back

The horizontal length of each cycle of a periodic function.

Front

Period

Back

A trigonometric function for an acute angle θ of a right triangle, denoted by cosθ= adjacent/hypotenuse

Front

cosine

Back

The acute angle formed by the terminal side of an angle in standard position in the x-axis

Front

Reference Angle

Back

A function whose graph has a repeating pattern.

Front

Periodic Function

Back

A region of a circle that is bounded by two radii and an arc of the circle

Front

Sector

Back

The circle x² + y² = 1 which has a center (0,0) and radius 1

Front

Unit Circle

Back

Two angles whose terminal sides coincide

Front

coterminal

Back

A trignometric function for an acute angle 𝛳 of a right angle, denoted by sin𝛳 = opposite/hypotenuse

Front

Sine

Back