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This review prepares students for the final exam in Elementary Functions (Trigonometry). It consists of two parts: Part I (54 points) is a non-calculator section focusing on the unit circle, trigonometric values, function graphs, identities, and polar equations. Part II (53 points) allows calculators and covers solving triangles, simplifying expressions, equations, and polar coordinates. With a total of 107 points available, students can earn extra credit by exceeding the required total. Key concepts include radians vs. degrees, coterminal angles, and the relationship between different coordinate systems.
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MTH 112Elementary Functions(aka: Trigonometry) Review for the Final
Two Parts • Part I (54 pts) • No calculators. • Just you, the test, and a pen or pencil. • Part II (53 pts) • Calculators may be used. • Be careful with radians vs. degrees! • Extra Credit! • Since the total is 107 pts, the extra 7 points will be considered extra credit.
Part I (54 pts) • The unit circle (8 pts) • Values of trigonometric and inverse trigonometric functions (14 pts) • Graphs of the trigonometric functions (13 pts) • f(x) = sin x f(x) = cos x f(x) = tan x • f(x) = Asin(Bx-C)+D f(x) = Acos(Bx-C)+D • Identities (8 pts) • Graphs of Polar Equations (4 pts) • Other (7 pts) • Given a trig value of an angle, find the others. • Degrees Radians • Coterminal Angles & Reference Angles
Part II (53 pts) • Solve Triangles (30 pts) • Right & oblique triangles • Related applications • Simplifying Expressions (4 pts) • Solving Equations (9 pts) • Polar Coordinates & Equations (10 pts) • Polar Rectangular Conversions • Multiple representations of the same point