The backbone theorem : the Pythagorean theorem -- Some surprisingly helpful background history -- The basics of "circle-ometry" -- Radian measure -- The graphs of sine and cosine in degrees -- The graphs of sine and cosine in radians -- Basic trigonometric identities -- Sine and cosine for circles of different radii -- A paradigm shift -- The basics of trigonometry -- The tangent, cotangent, secant, and cosecant graphs -- Inverse trigonometric functions -- Addition and subtraction formulas, double and half angle formulas -- The law of cosines -- The area of a triangle -- The law of sines -- Heron's formula for the area of a triangle -- Fitting trigonometric functions to periodic data -- (Extra) Polar coordinates -- (Extra) Polar graphs -- Solutions.
Summary:
This series of texts proves this so! By collating all the MAA AMC questions that link to one particular topic, a coherent mathematical landscape ripe for a guided journey of study emerges. Whether you are motivated by the competition experience or shy away from it, this guide is for you! -- from back cover.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.