Precalculus:Trigonometric Functions

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by erindoering
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Precalculus:Trigonometric Functions

Precalculus: Sections 4.5-4.8; Trigonometric Functions

VocabularyDamping Factor- The factor Ae^-at in an equation such as y-Ae^-at cos btInverse Sine Function- The fuction y=sin^-1x; denoted as arcsine of x and inverse sine of xInverse Cosine- The function y=cos^-1x; denoted as arccosine of x and inverse cosine of xInverse tangent function-The function y=tan^-1x; denoted as arctangent of x and inverse tangent of xAngle of elevation- The acute angle formed by the line of sight (upward) and the horizontalAngle of deprssion- The acute angle formed by the line of sight (downward) and the horizontalSove Algebraically- Use an algebraic method with no calculator or grapher use. Simple Harmonic Motion- Motion described by d = asinwt Frequency- Reciprical of the period of the sinusoid

As a ferris wheel rotates, a sinusoid is generated as a plot of the angle of rotation from the vertical vs. the height of a (particular) car above the ground.

Real WorldApplications

A pilot uses trigonometry through the angle of depression to determine the distance to stand descending to land on the runway.

Useful WebsitesGraphing Trigonometric FunctionsSinusoidsAngles of Elevation and DepressionThe Cotangent Function

Graphing Tangent and Cotangent Functions

Angles of Elevation and Depression


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