Plane and Spherical TrigonometryD.C. Heath & Company, 1917 - 313 páginas |
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Página 122
... decimal places , 1 ° = 0.01745 radians sin 1 ° = = 0.01745 sin 2 ° 0.03490 2 ° = 0.03491 radians sin 3 ° 0.05234 4 ° 3 ° = 0.05236 radians 0.06981 radians = sin 4 ° 0.06976 = 115. To develop sin a and cos a in terms of a . By De ...
... decimal places , 1 ° = 0.01745 radians sin 1 ° = = 0.01745 sin 2 ° 0.03490 2 ° = 0.03491 radians sin 3 ° 0.05234 4 ° 3 ° = 0.05236 radians 0.06981 radians = sin 4 ° 0.06976 = 115. To develop sin a and cos a in terms of a . By De ...
Página 1
... decimal part . Either part may be equal to zero . The integral part of a logarithm is called the characteristic , while the decimal part is called the mantissa . Thus , to four deci mal places , 101.386124.33 or log10 24.33 = 1.3861 ...
... decimal part . Either part may be equal to zero . The integral part of a logarithm is called the characteristic , while the decimal part is called the mantissa . Thus , to four deci mal places , 101.386124.33 or log10 24.33 = 1.3861 ...
Página 2
... decimal . But all numbers between 100 and 1000 have three figures to the left of the decimal point , as 436.259 , and the logarithms of all such numbers have a characteristic 2. In general it will be seen that the following law is true ...
... decimal . But all numbers between 100 and 1000 have three figures to the left of the decimal point , as 436.259 , and the logarithms of all such numbers have a characteristic 2. In general it will be seen that the following law is true ...
Página 3
... decimal point and the first significant figure . Thus log .000468 = 4.67025 log.175 = 1.24304 . = 3. Mantissa not affected by change of decimal point . All num- bers which differ from one another only in the position of the decimal ...
... decimal point and the first significant figure . Thus log .000468 = 4.67025 log.175 = 1.24304 . = 3. Mantissa not affected by change of decimal point . All num- bers which differ from one another only in the position of the decimal ...
Página 6
... decimal places given in the table . EXPLANATION OF TABLES I , II , AND III 1. To find the value of any trigonometric function when the angle is an integral number of degrees is simply a matter of reading the result from the proper ...
... decimal places given in the table . EXPLANATION OF TABLES I , II , AND III 1. To find the value of any trigonometric function when the angle is an integral number of degrees is simply a matter of reading the result from the proper ...
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Términos y frases comunes
angle opposite angles of depression colog COMMON LOGARITHMS complex number computed cos a cos cos-¹ cos¹ cos² cos³ cot-¹ cot² cotangent coty csc² cube root decimal point determine difference Equating the real Find the height find the value flagpole four-place tables fundamental relations given angles greater than 90 Hence interpolation inverse function law of cosines law of sines law of tangents less than 180 line values Log Cot log sin ẞ loga logarithms of numbers mantissa Moivre's theorem negative number of degrees quadrant radians roots of unity sec-¹ sec² sides are given Similarly sin a cos sin a sin sin-¹ sin(a+b sin¹ sin² sin³ solution Solve the following spherical right triangle spherical triangle square root ẞ cot tan-¹ tan² tangent terminal line tower trigonometric functions Va² α α απ π π ייד
Pasajes populares
Página 4 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 130 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 4 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 111 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Página 3 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Página 85 - B is negative, and BD — — a cos B. The substitution of this in (4) leads us again to (3). Thus we see that (3) is true in all cases. THE LAW OF COSINES. The square of any side .of a plane triangle is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle. This may be regarded as a generalization of the Pythagorean Theorem to which it reduces when the included angle is a right angle. These two laws are among the most important of...
Página 2 - If the number is greater than 1, the characteristic is one less than the number of places to the left of the decimal point.
Página 131 - By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b...
Página 31 - The product of all the lines, that can be drawn from one of the angles of a regular polygon of n sides, inscribed in a circle whose radius is a, to all the other angular points = no.
Página 111 - From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively.