Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 212
... cosc ; sin ( s - a ) sin ( s sin a sin b - - b ) = sin C. Substituting in the value of cos But cos ( A + B ) = = 2 ( A + B ) , we have cos ( se ) sin sin C 2 sine cosc - cos ( s — c ) .cos c - sin C. .. cos ( A + B ) cos c = cos ( s ...
... cosc ; sin ( s - a ) sin ( s sin a sin b - - b ) = sin C. Substituting in the value of cos But cos ( A + B ) = = 2 ( A + B ) , we have cos ( se ) sin sin C 2 sine cosc - cos ( s — c ) .cos c - sin C. .. cos ( A + B ) cos c = cos ( s ...
Página 216
... cosc . - For example , given .1 107 ° 47 ' 7 " , B = 38 ° 58 ' 27 " , c = 51 ° 41 ' 14 " , solve the triangle . A ... cosc = 9.95423 ( A - B ) = 34 ° 24 ′ 20 ′′ ( 1 + B ) = 73 ° 22 ' 47 " 25 ° 50 ' 37 " log sin ( 1B ) = 9.75208 colog sin ...
... cosc . - For example , given .1 107 ° 47 ' 7 " , B = 38 ° 58 ' 27 " , c = 51 ° 41 ' 14 " , solve the triangle . A ... cosc = 9.95423 ( A - B ) = 34 ° 24 ′ 20 ′′ ( 1 + B ) = 73 ° 22 ' 47 " 25 ° 50 ' 37 " log sin ( 1B ) = 9.75208 colog sin ...
Página 225
... cosc == tans tan ( s- c ) . ( 4 ) cos ( a + b ) + cos & c Comparing ( 1 ) , ( 3 ) , and ( 4 ) we obtain cot ( 2 CE ) tan E = tans tan ( sc ) . ( 5 ) By beginning with the second of Gauss's equations ( § 194 ) , and treating it in the ...
... cosc == tans tan ( s- c ) . ( 4 ) cos ( a + b ) + cos & c Comparing ( 1 ) , ( 3 ) , and ( 4 ) we obtain cot ( 2 CE ) tan E = tans tan ( sc ) . ( 5 ) By beginning with the second of Gauss's equations ( § 194 ) , and treating it in the ...
Página 25
... cosc cos a Exercise 94 . 1. cos a = cos b cos c . cos a cos b cos c = 2. cosb 3. cos a = cos b cos c ; cos b = cos a cos c . 4. cos a = cos b cos c ; cos b = cos a cos c ; cos c = cos a cos b . cos a cosc . = sin c sin a Exercise 95 . 1 ...
... cosc cos a Exercise 94 . 1. cos a = cos b cos c . cos a cos b cos c = 2. cosb 3. cos a = cos b cos c ; cos b = cos a cos c . 4. cos a = cos b cos c ; cos b = cos a cos c ; cos c = cos a cos b . cos a cosc . = sin c sin a Exercise 95 . 1 ...
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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
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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).