auto generate barcode vb net This procedure will be indicated in calculator solutions by showing tan 48 23 in Visual Studio .NET

Encode Quick Response Code in Visual Studio .NET This procedure will be indicated in calculator solutions by showing tan 48 23

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1.12567. (See Prob. 4.3)
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CHAPTER 4 Solution of Right Triangles
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EXAMPLE 4.15 Find cos 53.28 .
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(a) Put the calculator in degree mode. (b) Enter 53.28. (c) Press (cos) key. (d) cos 53.28 0.597905 rounded to six digits.
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For values of cotangent, secant, and cosecant, the reciprocal of the value of the reciprocal function is used. (See Sec. 2.4.)
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EXAMPLE 4.16 Find cot 37 20 .
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(a) Put the calculator in degree mode. (b) Press (( ) key, enter 37, press ( ) key, enter 20, press ( ) key, enter 60, press ( )) key, and press (tan) key. (c) Press (1/x) key or divide 1 by the value of tan 37 20 from (b). (d) cot 37 20 1.31110 rounded to six digits.
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4.6 Find an Angle Given a Function Value Using a Calculator
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The values of angles can easily be found as a number of degrees plus a decimal. If angles are wanted in minutes, then the decimal part of the angle measure is multiplied by 60 and this result is rounded to the nearest 10 , 1 , or 0.1 , as desired.
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EXAMPLE 4.17 Find A, when sin A
(a) Put the calculator in degree mode. (b) Enter 0.4234, press (inv) key, and press (sin) key. (c) A 25.05 to the nearest hundredth degree OR
(d) Record the whole number of degrees, 25 . (e) Press ( ) key, enter 25, press ( ) key, press ( ) key, enter 60, and press ( ) key. (f) To the nearest minute, the displayed value is 3 . (g) A 25 3 to the nearest minute. 0.8163.
EXAMPLE 4.18 Find A, when cos A
(a) Put the calculator in degree mode. (b) Enter 0.8163, press (inv) key, and press (cos) key. (c) A 35.28 to the nearest hundredth degree OR
(d) Record the whole number of degrees, 35 . (e) Press ( ) key, enter 35, press ( ) key, press ( ) key, enter 60, and press ( ) key. (f) To the nearest minute, the displayed value is 17 . (g) A 35 17 to the nearest minute.
When values of cotangent, secant, or cosecant are given, the reciprocal of the given function value is found, and then the reciprocal function is used.
CHAPTER 4 Solution of Right Triangles
EXAMPLE 4.19 Find A, when sec A
(a) Put the calculator in degree mode. (b) Enter 3.4172 and press (1/x) key or enter 1, press ( ) key, enter 3.4172, and press ( ) key. (c) Press (inv) key and press (cos) key. (d) A 72.98 to the nearest hundredth degree OR
(e) Record the whole number of degrees, 72 . (f) Press ( ) key, enter 72, press ( ) key, press ( ) key, enter 60, and press ( ) key. (g) To the nearest minute, the displayed value is 59 . (h) A 72 59 to the nearest minute.
4.7 Accuracy in Computed Results
Errors in computed results arise from: (a) Errors in the given data. These errors are always present in data resulting from measurements. (b) The use of values of trigonometric functions, whether from a table or a calculator, that are usually approximations of infinite decimals. A measurement recorded as 35 m means that the result is correct to the nearest meter; that is, the true length is between 34.5 and 35.5 m. Similarly, a recorded length of 35.0 m means that the true length is between 34.95 and 35.05 m; a recorded length of 35.8 m means that the true length is between 35.75 and 35.85 m; a recorded length of 35.80 m means that the true length is between 35.795 and 35.805 m; and so on. In the number 35 there are two significant digits, 3 and 5. They are also two significant digits in 3.5, 0.35, 0.035, 0.0035 but not in 35.0, 3.50, 0.350, 0.0350. In the numbers 35.0, 3.50, 0.350, 0.0350 there are three significant digits, 3, 5, and 0. This is another way of saying that 35 and 35.0 are not the same measurement. It is impossible to determine the significant figures in a measurement recorded as 350, 3500, 35,000,.... For example, 350 may mean that the true result is between 345 and 355 or between 349.5 and 350.5. One way to indicate that a whole number ending in a zero has units as its digit of accuracy is to insert a decimal point; thus 3500. has four significant digits. Zeros included between nonzero significant digits are significant digits. A computed result should not show more decimal places than that shown in the least accurate of the measured data. Of importance here are the following relations giving comparable degrees of accuracy in lengths and angles: (a) Distances expressed to 2 significant digits and angles expressed to the nearest degree. (b) Distances expressed to 3 significant digits and angles expressed to the nearest 10 or to the nearest 0.1 . (c) Distances expressed to 4 significant digits and angles expressed to the nearest 1 or to the nearest 0.01 . (d) Distances expressed to 5 significant digits and angles expressed to the nearest 0.1 or to the nearest 0.001 . (NOTE: If several approximations are used when finding an answer, each intermediate step should use at least one more significant digit than is required for the accuracy of the final result.)
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