Plane and Spherical TrigonometryD.C. Heath & Company, 1917 - 313 páginas |
Dentro del libro
Resultados 1-5 de 21
Página vii
... HALF ANGLES 61. Statement of problem 62. The sine of the sum of two acute angles expressed in terms of the sines and cosines of the angles 63. The cosine of the sum of two acute angles 64. Importance of formulas . 65. Generalization of ...
... HALF ANGLES 61. Statement of problem 62. The sine of the sum of two acute angles expressed in terms of the sines and cosines of the angles 63. The cosine of the sum of two acute angles 64. Importance of formulas . 65. Generalization of ...
Página viii
... half angles , and the addition formulas 85. Examples 288 82 82 86. General statement 87. Law of sines . 88. Law of tangents CHAPTER VIII OBLIQUE TRIANGLE • 89. Cyclic interchange of letters 90. Law of cosines 84 84 85 85 85 91. Sine of half ...
... half angles , and the addition formulas 85. Examples 288 82 82 86. General statement 87. Law of sines . 88. Law of tangents CHAPTER VIII OBLIQUE TRIANGLE • 89. Cyclic interchange of letters 90. Law of cosines 84 84 85 85 85 91. Sine of half ...
Página 11
... half the velocity of the steam which drives them . What is the velocity of the steam in feet per second ? 15. A belt travels around two pulleys whose diameters are 3 feet and 10 inches respectively . The larger pulley makes 80 ...
... half the velocity of the steam which drives them . What is the velocity of the steam in feet per second ? 15. A belt travels around two pulleys whose diameters are 3 feet and 10 inches respectively . The larger pulley makes 80 ...
Página 33
... across a river one - half mile wide . If the river flows 4 miles per hour , where will the canoe land and what is its speed ? CHAPTER IV VARIATIONS OF THE TRIGONOMETRIC FUNCTIONS REDUCTION OF FUNCTIONS RIGHT TRIANGLES 33.
... across a river one - half mile wide . If the river flows 4 miles per hour , where will the canoe land and what is its speed ? CHAPTER IV VARIATIONS OF THE TRIGONOMETRIC FUNCTIONS REDUCTION OF FUNCTIONS RIGHT TRIANGLES 33.
Página 61
... HALF ANGLES 61. We have thus far considered the properties and rela tions of the functions of a single angle . We have also shown that the functions of the angles n 90 ± a depend upon the functions of the angle a . In the present ...
... HALF ANGLES 61. We have thus far considered the properties and rela tions of the functions of a single angle . We have also shown that the functions of the angles n 90 ± a depend upon the functions of the angle a . In the present ...
Contenido
82 | |
86 | |
95 | |
102 | |
105 | |
108 | |
121 | |
123 | |
9 | |
10 | |
12 | |
20 | |
26 | |
42 | |
48 | |
55 | |
61 | |
66 | |
67 | |
73 | |
79 | |
127 | |
129 | |
143 | |
149 | |
150 | |
156 | |
162 | |
36 | |
42 | |
91 | |
117 | |
Otras ediciones - Ver todas
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.