6.5.1: Key Terms

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Key Terms

amplitude: the vertical height of a function; the constant $A$ appearing in the definition of a sinusoidal function

arccosine: another name for the inverse cosine; $\arccos x = \cos^{- 1} x$

arcsine: another name for the inverse sine; $\arcsin x = \sin^{- 1} x$

arctangent: another name for the inverse tangent; $\arctan x = \tan^{- 1} x$

inverse cosine function: the function $\cos^{- 1} x,$ 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 $\sin^{- 1} x,$ 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 $\tan^{- 1} x,$ which is the inverse of the tangent function and the angle that has a tangent equal to a given number

midline: the horizontal line $y = D,$ where $D$ appears in the general form of a sinusoidal function

periodic function: a function $f (x)$ that satisfies $f (x + P) = f (x)$ for a specific constant $P$ and any value of $x$

phase shift: the horizontal displacement of the basic sine or cosine function; the constant $\frac{C}{B}$

sinusoidal function: any function that can be expressed in the form $f (x) = A \sin (B x - C) + D$ or $f (x) = A \cos (B x - C) + D$

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