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6.5.1: Key Terms

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    Key Terms

    amplitude
    the vertical height of a function; the constant A A appearing in the definition of a sinusoidal function
    arccosine
    another name for the inverse cosine; arccosx= cos 1 x arccosx= cos 1 x
    arcsine
    another name for the inverse sine; arcsinx= sin 1 x arcsinx= sin 1 x
    arctangent
    another name for the inverse tangent; arctanx= tan 1 x arctanx= tan 1 x
    inverse cosine function
    the function cos 1 x, cos 1 x, which is the inverse of the cosine function and the angle that has a cosine equal to a given number
    inverse sine function
    the function sin 1 x, sin 1 x, which is the inverse of the sine function and the angle that has a sine equal to a given number
    inverse tangent function
    the function tan 1 x, tan 1 x, which is the inverse of the tangent function and the angle that has a tangent equal to a given number
    midline
    the horizontal line y=D, y=D, where D D appears in the general form of a sinusoidal function
    periodic function
    a function f( x ) f( x ) that satisfies f( x+P )=f( x ) f( x+P )=f( x ) for a specific constant P P and any value of x x
    phase shift
    the horizontal displacement of the basic sine or cosine function; the constant C B C B
    sinusoidal function
    any function that can be expressed in the form f( x )=Asin( BxC )+D f( x )=Asin( BxC )+D or f( x )=Acos( BxC )+D f( x )=Acos( BxC )+D

    6.5.1: Key Terms is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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