Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 34
... solution of the right triangle . In order to solve a right triangle , that is , to find both of the acute angles , the hypotenuse , and both of the sides , two independent parts besides the right angle must be given . In speaking of the ...
... solution of the right triangle . In order to solve a right triangle , that is , to find both of the acute angles , the hypotenuse , and both of the sides , two independent parts besides the right angle must be given . In speaking of the ...
Página 58
... valuable in algebra , as in the solution of Exs . 22 , 23 , 25 , and 26 of Exercise 29 , we rarely have need of it in trigonometry . Exercise 29. Exponential Equations By logarithms , solve the following 58 PLANE TRIGONOMETRY.
... valuable in algebra , as in the solution of Exs . 22 , 23 , 25 , and 26 of Exercise 29 , we rarely have need of it in trigonometry . Exercise 29. Exponential Equations By logarithms , solve the following 58 PLANE TRIGONOMETRY.
Página 63
... solution of the right triangle was considered when an acute angle and the hypotenuse are given . We may now consider this case and the follow- ing cases with the aid of logarithms . For example , given A = 34 ° 28 ' , c = 18.75 , find B ...
... solution of the right triangle was considered when an acute angle and the hypotenuse are given . We may now consider this case and the follow- ing cases with the aid of logarithms . For example , given A = 34 ° 28 ' , c = 18.75 , find B ...
Página 64
... solution should be compared with the one given in § 31 , page 35. It will be seen that this is much shorter , especially as to that part in which c is found . The difference is still more marked if we remember that only part of the long ...
... solution should be compared with the one given in § 31 , page 35. It will be seen that this is much shorter , especially as to that part in which c is found . The difference is still more marked if we remember that only part of the long ...
Página 65
... solution should be compared with the one given in § 33 , page 36 . 67. Given the Two Sides . For example , given a ... solution should be compared with the solution of the same problem given in § 34 , page 37. There is not much gained in ...
... solution should be compared with the one given in § 33 , page 36 . 67. Given the Two Sides . For example , given a ... solution should be compared with the solution of the same problem given in § 34 , page 37. There is not much gained in ...
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Plane and Spherical Trigonometry, and Surveying G. A. (George Albert) 1835-1 Wentworth Sin vista previa disponible - 2015 |
Términos y frases comunes
9 log acute angle angle of depression angle of elevation characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cot log cotangent cotx decimal places degrees Dividing equal equation example Exercise Find log Find the area Find the distance Find the height Find the length Find the value given the following graph Hence horizontal hypotenuse included angle interpolation latitude Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa negative perpendicular polygon positive quadrant radians radius right angle right spherical triangle right triangle roots secant secx sexagesimal ship sails sides sin B sin sin log cos sin(x sin² solution solve the triangle spherical triangle subtends subtract tabular difference tangent triangle ABC whence
Pasajes populares
Página 109 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 98 - I sin y \2 / \2 / = sin x cos y + cos x sin y, sin (a; — y) = sin (x + (— y)) = sin a; cos (— y) + cos a; sin (— y) = sin x cos y — cos x sin y, tan (x + y) = sin (x + y) sin x cos y + cos x...
Página 52 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 44 - 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 50 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 57 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 116 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Página 112 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.
Página 128 - Prove that the area of a parallelogram is equal to the product of the base, the diagonal, and the sine of the angle included by them.
Página 151 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).