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 TOPICS This page:   trigonometry    Search   Dr. Math See also the Dr. Math FAQ:   trigonometry formulas See also the Internet Library:   trigonometry HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry Browse High School Trigonometry Stars indicate particularly interesting answers or good places to begin browsing. Selected answers to common questions:     DeMoivre's theorem.     Volume of a tank. Triangular Garden [03/18/1997] Find the length of a fence that runs from the right angle to the hypotenuse and separates the garden into two parts of equal perimeter. Trig and Inverse Trig Problems [7/30/1995] I have three trig-related questions. Would it be possible to include explanations for solutions and some general rules? Trig Based on the Unit Square [10/22/1998] Why are the sine and cosine graphs defined in a unit circle? Why not a unit square or any other geometric shape? Trig Equation [6/22/1996] Solve for x: (cos(x))^2+(sin(x))^2 = (15*(cos(x))^2)/18)-(1/2) Trig Function Domains [08/23/1999] Which came first, trigonometry based on the simple triangle or trigonometry based on the triangle of the unit circle? Trig functions [11/22/1994] What is the definition of sine, and the other trig functions? I understand how to get it, but why was it chosen to be like that? How come all triangles have this property? Does it have something to do with the fact they all have 180 degrees? Trig Functions [9/29/1996] How do you know when to use sine, cosine, and tangent? Trig Functions in Forth [04/07/2003] I am writing a program in the language Forth. I need to determine the two missing angles in a right triangle... Trig Functions in Three Problems: Graphing, Solving, and Factoring [05/15/1998] Graphing sin(x) - cos(x), solving sqrt(3)*cos(x) = sin(x), and factoring. Trig Functions of Angles Expressed in Degrees and Minutes [05/04/1998] Using calculators to evaluate trigonometry functions of angles expressed in degrees and minutes. Trig Functions, Reference Angles, and the Unit Circle [07/02/2004] A discussion using the unit circle to show why sin(A) = sin(180 - A) and introducing other similar identities based on reference angles. Trig Identities [04/16/1999] I have to prove that cos 36 (or sin 54) = (1+sqrt(5))/4. Trig Identities and Double Angles [01/04/1998] Prove that sec2A + tan2A = cosA + sinA / cosA - sinA. Trig Identities Simplify a Challenging Integration [02/11/2005] How would you integrate 1/[asin(theta) + bcos(theta)]^2 ? Trig in the Age of Calculators, and Why Don't We Just Measure the Triangles Directly? [01/10/2015] A teen wonders about the purpose of trigonometric functions. Don't they just represent sidelengths of triangles that we could already measure, and even more immediately evaluate with a calculator? With a few historical asides, Doctor Peterson unpacks definitions. Trig Inverses: sin(arctan x) [11/04/2002] We discussed inverses of trig functions, but when the teacher added an x, I didn't understand. Trignometric Functions [5/31/1996] I have to find the four missing trig functions... Trigonemetric Identities [02/11/2003] I'm struggling with the concepts of compound angle formulas, products of sums or differences, and multiple and half angles. Is there a connection between these and all the trig identities? Trigonometric Equation [8/11/1995] Solve {x : 2sin(3x-1)+7 = 6.25, -Pi]

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