# vb.net generate qr code A Fresh Look at Trigonometry in Visual Studio .NET Generating USS Code 39 in Visual Studio .NET A Fresh Look at Trigonometry

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Trigonometry (or trig ) involves the relationships between angles and distances Traditional texts usually define the trigonometric functions of an angle as ratios between the lengths of the sides of a right triangle containing that angle If you ve done trigonometry with triangles, get ready for a new perspective!
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Circles in the Cartesian Plane
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In Cartesian xy coordinates, circles are represented by straightforward equations The equation for a particular circle depends on its radius, and also on the location of its center point
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The unit circle In trigonometry, we re interested in the circle whose center is at the origin and whose radius is 1 This is the simplest possible circle in the xy plane It s called the unit circle, and is represented by the equation
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x2 + y2 = 1 The unit circle gives us an elegant way to define the basic trigonometric functions That s why these functions are sometimes called the circular functions Before we get into the circular functions themselves, let s be sure we know how to define angles, which are the arguments (or inputs) of the trig functions
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Naming angles Mathematicians often use Greek letters to represent angles The italic, lowercase Greek letter theta is popular It looks like an italic numeral 0 with a horizontal line through it (q) When writing about two different angles, a second Greek letter is used along with q Most often, it s the italic, lowercase letter phi This character looks like an italic lowercase English letter o with a forward slash through it (f)
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Sometimes the italic, lowercase Greek letters alpha, beta, and gamma are used to represent angles These, respectively, look like the following symbols: a, b, and g When things get messy and there are a lot of angles to talk about, numeric subscripts may be used with Greek letters, so don t be surprised if you see text in which angles are denoted q1, q2, q3, and so on If you read enough mathematical papers, you ll eventually come across angles that are represented by other lowercase Greek letters Angle variables can also be represented by more familiar characters such as x, y, or z As long as we know the context and stay consistent in a given situation, it really doesn t matter what we call an angle