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qr code vb.net source Sinusoidal Waves. rms Value in .NET
CHAPTER 5 Sinusoidal Waves. rms Value Reading Code-128 In .NET Using Barcode Control SDK for Visual Studio .NET Control to generate, create, read, scan barcode image in .NET framework applications. Creating Code 128 In VS .NET Using Barcode maker for .NET framework Control to generate, create Code128 image in Visual Studio .NET applications. the angle , the COSINE ( KOH sign ) of the angle , and the TANGENT of the angle . Then, The expression sine of is abbreviated sin and read as sine of theta, The expression cosine of is abbreviated cos and read as cosine of theta, The expression tangent of is abbreviated tan and read as tangent of theta. Referring now to the standard reference triangle of Fig. 64, the above expressions are de ned to mean that (and these de nitions should be committed to memory) sin cos tan that is, in Fig. 64: sin b=h cos a=h tan b=a 69 70 71 opposite side b hypotenuse h adjacent side a hypotenuse h opposite side b adjacent side a Code128 Recognizer In Visual Studio .NET Using Barcode decoder for .NET Control to read, scan read, scan image in .NET applications. Make Bar Code In VS .NET Using Barcode printer for Visual Studio .NET Control to generate, create barcode image in Visual Studio .NET applications. The quantities sin , cos , and tan are the three principal trigonometric functions. The values of the functions depend only upon the angle . In our work the angle will generally be regarded as the independent variable. As mentioned previously, sin and cos are referred to as the sinusoidal functions. Now let us see how the values of sin , cos , and tan vary as varies from 08 to 908. To help us to do this, we ve used our calculator to ll out a short four-place table of values as follows (which you can verify on your own calculator). Reading Barcode In .NET Framework Using Barcode decoder for VS .NET Control to read, scan read, scan image in .NET framework applications. Encoding USS Code 128 In C# Using Barcode printer for .NET framework Control to generate, create Code128 image in .NET applications. 8 0 1 2 3 4 5 6 8 10 15 20 25 30 sin 0.0000 0.0175 0.0349 0.0523 0.0698 0.0872 0.1045 0.1392 0.1737 0.2588 0.3420 0.4226 0.5000 cos 1.0000 0.9999 0.9994 0.9986 0.9976 0.9962 0.9945 0.9903 0.9848 0.9659 0.9397 0.9063 0.8660 tan 0.0000 0.0175 0.0349 0.0524 0.0699 0.0875 0.1051 0.1405 0.1763 0.2680 0.3640 0.4663 0.5774 8 35 40 45 50 55 60 65 70 75 80 85 88 90 sin 0.5736 0.6428 0.7071 0.7660 0.8192 0.8660 0.9063 0.9397 0.9659 0.9848 0.9962 0.9994 1.0000 cos 0.8192 0.7660 0.7071 0.6428 0.5736 0.5000 0.4226 0.3420 0.2588 0.1737 0.0872 0.0349 0.0000 tan 0.7002 0.8391 1.0000 1.1918 1.4281 1.7321 2.1445 2.7475 3.7321 5.6713 11.4301 28.6363 1 Code 128A Creation In .NET Using Barcode drawer for ASP.NET Control to generate, create Code 128C image in ASP.NET applications. Paint ANSI/AIM Code 128 In VB.NET Using Barcode printer for .NET Control to generate, create USS Code 128 image in Visual Studio .NET applications. A discussion of the table follows, in which it will be helpful to refer to Fig. 65.
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Matrix Barcode Encoder In VB.NET Using Barcode drawer for .NET Control to generate, create Matrix Barcode image in .NET framework applications. Code 39 Extended Maker In None Using Barcode generation for Font Control to generate, create Code-39 image in Font applications. Here we are holding h constant in length, as the angle h is allowed to have any value from 0 degrees to 90 degrees. As the angle h changes, the length of the sides a and b change, but h remains constant in length. Generating GS1 - 12 In VB.NET Using Barcode drawer for Visual Studio .NET Control to generate, create UPC-A image in Visual Studio .NET applications. Code39 Creation In None Using Barcode generator for Microsoft Excel Control to generate, create ANSI/AIM Code 39 image in Office Excel applications. Let us begin our discussion of the foregoing table for the special cases of 08 and 908, by making use of eqs. (69), (70), and (71), and Fig. 65, as follows. First, for 08 we have 9 sin b=h 0=h 0; that is; sin 08 0 > = cos a=h h=h 1; that is; cos 08 1 see table > ; tan b=a 0=h 0; that is; tan 08 0 Next, for 908 we have sin b=h h=h 1; that is; cos a=h 0=h 0; that is; tan b=a h=0 1; that is; 9 sin 908 1 > = cos 908 0 see table > ; tan 908 1 Paint Barcode In None Using Barcode generation for Office Excel Control to generate, create bar code image in Excel applications. Making Code 128 In Visual Basic .NET Using Barcode printer for .NET framework Control to generate, create Code 128C image in Visual Studio .NET applications. Let us now discuss, in more detail, the statement that tan 908 1. To begin, note that, as Fig. 65 shows, as comes CLOSER AND CLOSER to the value of 90 degrees the ratio b=a becomes GREATER AND GREATER in value. Mathematically we can say that, as becomes vanishingly close to the limiting value of 90 degrees, the value of the ration b=a increases without bound, that is, becomes INFINITELY GREAT. The mathematical expression to indicate this situation is written as Scan Bar Code In .NET Using Barcode Control SDK for ASP.NET Control to generate, create, read, scan barcode image in ASP.NET applications. Code 128 Code Set C Creation In None Using Barcode creator for Software Control to generate, create Code 128B image in Software applications. !908 lim tan ! 1 72 which can be read as the tangent of becomes in nitely great as approaches the limiting value of 90 degrees. It should be noted that in nity is not a speci c number, but is greater than any number you name, however large. Since in nity is not a speci c number, we say that tan is unde ned for 908. It is thus not correct to say that tan 908 equals in nity, because in nity is not a speci c value; in this case eq. (72) is really the proper statement to use. Nevertheless, it is common practice to abbreviate eq. (72) by simply writing that tan 908 1. At this point we might mention, just brie y, how the values of sin , cos , and tan , listed in the foregoing table of values, were originally found. Originally, such tables were created by drawing, as carefully as possible, right triangles for di erent values of . Then, upon measuring the lengths of the sides as accurately as possible, the true values of the ratios b=h, a=h, b=a could be approximately determined for speci c values of .
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