Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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... hence the student should be familiar with its advantages . Such topics as the radian , graphs of the various functions , the applications of trigonometry to higher algebra , and the theory of trigonometric equations properly find place ...
... hence the student should be familiar with its advantages . Such topics as the radian , graphs of the various functions , the applications of trigonometry to higher algebra , and the theory of trigonometric equations properly find place ...
Página 7
... Hence , sin 4 cos A tan A = = = a - = cos B = cos ( 90 ° — A ) , с b с a b 81001 = sin B - sin ( 90 ° — A ) , cot B : = cot ( 90 ° — A ) , tan B : = tan ( 90 ° — A ) , - B a cot A -- = a с sec A = b csc B = csc ( 90 ° — A ) , b CSC 4 ...
... Hence , sin 4 cos A tan A = = = a - = cos B = cos ( 90 ° — A ) , с b с a b 81001 = sin B - sin ( 90 ° — A ) , cot B : = cot ( 90 ° — A ) , tan B : = tan ( 90 ° — A ) , - B a cot A -- = a с sec A = b csc B = csc ( 90 ° — A ) , b CSC 4 ...
Página 8
... Hence , = 9 sin 45 ° cos 45 ° - - tan 45 ° = cot 45 ° = a b с - 1 ; = 1 √2 45 B a ( 1 sec 45 ° = csc 45 ° = = √2 . a 45 ° A b We have therefore found all six functions of 45 ° . For purposes of computa- = 1.4142 + , tion these are ...
... Hence , = 9 sin 45 ° cos 45 ° - - tan 45 ° = cot 45 ° = a b с - 1 ; = 1 √2 45 B a ( 1 sec 45 ° = csc 45 ° = = √2 . a 45 ° A b We have therefore found all six functions of 45 ° . For purposes of computa- = 1.4142 + , tion these are ...
Página 10
... Hence the column of sines from 0 ° to 45 ° is the same as the column of cosines from 45 ° to 90 ° . Therefore In finding the functions of angles from 0 ° to 45 ° read from the top down ; in finding the functions of angles from 45 ° to ...
... Hence the column of sines from 0 ° to 45 ° is the same as the column of cosines from 45 ° to 90 ° . Therefore In finding the functions of angles from 0 ° to 45 ° read from the top down ; in finding the functions of angles from 45 ° to ...
Página 12
... Hence sin A csc A = 1 , cos A sec A1 , and tan A cot A from the table on page 11 we find sin 27 ° csc 27 ° thus : = 1. For example , Therefore sin 27 ° = 0.4540 . csc 27 ° 2.2027 . - sin 27 ° csc 27 ° 0.4540 × 2.2027 = 1.00002580 , or ...
... Hence sin A csc A = 1 , cos A sec A1 , and tan A cot A from the table on page 11 we find sin 27 ° csc 27 ° thus : = 1. For example , Therefore sin 27 ° = 0.4540 . csc 27 ° 2.2027 . - sin 27 ° csc 27 ° 0.4540 × 2.2027 = 1.00002580 , or ...
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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).