Big Ideas Algebra 2 Chapter 9

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20 Terms

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Secant

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

<p>A ray of an angle in standard position that has been rotated about the vertex in a coordinate plane</p>
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Initial Side

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

<p>The fixed ray of an angle in standard position in a coordinate plane</p>
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Radian

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.

<p>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.</p>
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coterminal

Two angles whose terminal sides coincide

<p>Two angles whose terminal sides coincide</p>
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Sector

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

<p>A region of a circle that is bounded by two radii and an arc of the circle</p>
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central angle

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

<p>The angle measure of a sector of a circle formes by two radii</p>
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Unit Circle

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

<p>The circle x² + y² = 1 which has a center (0,0) and radius 1</p>
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Reference Angle

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

<p>The acute angle formed by the terminal side of an angle in standard position in the x-axis</p>
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Period

The horizontal length of each cycle of a periodic function.

<p>The horizontal length of each cycle of a periodic function.</p>
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Periodic Function

A function whose graph has a repeating pattern.

<p>A function whose graph has a repeating pattern.</p>
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amplitude

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

<p>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</p>
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cycle

The shortest repeating position of the graph of a periodic function

<p>The shortest repeating position of the graph of a periodic function</p>
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Midline

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

<p>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</p>

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