Manual of plane trigonometry, by J.A. Galbraith and S. Haughton |
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Página 7
... cotangent " " 99 CS " " AP cosecant versed sine 99 99 99 99 99 If the numerical value of the angle ACB be de- noted by A , these quantities are usually written , for brevity , thus : sin A , cos A , tan A , sec A , cot A , cosec A ...
... cotangent " " 99 CS " " AP cosecant versed sine 99 99 99 99 99 If the numerical value of the angle ACB be de- noted by A , these quantities are usually written , for brevity , thus : sin A , cos A , tan A , sec A , cot A , cosec A ...
Página 11
... cotangent of its complement . The cotangent of an angle is equal to the tangent of its complement . The relation between the sines and cosines of supplemental angles may be thus expressed : sin A = sin ( -A ) , ( 14 ) cos A = - COS ( π ...
... cotangent of its complement . The cotangent of an angle is equal to the tangent of its complement . The relation between the sines and cosines of supplemental angles may be thus expressed : sin A = sin ( -A ) , ( 14 ) cos A = - COS ( π ...
Página 12
... cotangent , that sec2 45 ° = cosec2 45 ° = 2 ; and therefore , extracting √2 to five places of deci- sec 45 ° = cosec 45 ° = 1.41421 . mals , Let it be required to find the values of the 12 TRIGONOMETRICAL MAGNITUDES .
... cotangent , that sec2 45 ° = cosec2 45 ° = 2 ; and therefore , extracting √2 to five places of deci- sec 45 ° = cosec 45 ° = 1.41421 . mals , Let it be required to find the values of the 12 TRIGONOMETRICAL MAGNITUDES .
Página xv
... cotangent , or cosecant , subtract . The result will be the required sine , cosine , & c . EXAMPLES . I. Find the sine of 6 ° 36 ′ 27 ′′ . = sin 6 ° 36 ' 0.1149372 Tab . diff . = 1300 2889 × 27 60 = 1300 . 0.1150672 Ans . sin 6 ° 36 ...
... cotangent , or cosecant , subtract . The result will be the required sine , cosine , & c . EXAMPLES . I. Find the sine of 6 ° 36 ′ 27 ′′ . = sin 6 ° 36 ' 0.1149372 Tab . diff . = 1300 2889 × 27 60 = 1300 . 0.1150672 Ans . sin 6 ° 36 ...
Página xvi
... cotangent , or cosecant , subtract . The result will be the required angle . EXAMPLES . 1. Given the sine = 0.7321564 ; find the angle . 0.7321564 sin 47 ° 4 ′ = 0.7321467 97 Tab . diff . 1982 . = 97 х бо = 3 " . 1982 Ans . 47 ° 4 ′ 3 ...
... cotangent , or cosecant , subtract . The result will be the required angle . EXAMPLES . 1. Given the sine = 0.7321564 ; find the angle . 0.7321564 sin 47 ° 4 ′ = 0.7321467 97 Tab . diff . 1982 . = 97 х бо = 3 " . 1982 Ans . 47 ° 4 ′ 3 ...
Otras ediciones - Ver todas
Manual of Plane Trigonometry, by J.A. Galbraith and S. Haughton Joseph Allen Galbraith Sin vista previa disponible - 2016 |
Manual of Plane Trigonometry, by J. A. Galbraith and S. Haughton Joseph Allen Galbraith Sin vista previa disponible - 2015 |
Términos y frases comunes
a² 2bc angle ACB angle is equal angular unit appears from Prop Calculate the value centre Chap circle Circumference complement corresponding number cosec degrees and minutes diameter diff divide equation Euclid Express feet find the angle find the area Find the logarithm find the number Find the product Find the quotient find the value five figures following proportion four figures given angle Given log given side Given the logarithm hypotenuse log cosine log cotangent log sine log tangent Logarithmic Tables mantissa Natural Sines number is equal number of seconds obtain proceed by RULE PROPOSITION rence required to find right angle right-angled triangle secant sect sin A sin sines and cosines square root subtends subtract Tables of Natural tables the corresponding tabular difference triangle BCP TRIGONOMETRICAL MAGNITUDES value of log versin
Pasajes populares
Página ii - RULE. The characteristic of the logarithm of a number greater than unity, is one less than the number of integral figures in the given number.
Página iv - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 5 - ... to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Página 10 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Página iv - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página ii - The Characteristic of the logarithm of a number less than unity, and reduced to the decimal form, is negative and one greater than the number of cyphers following the decimal point.
Página xi - ... will be the logarithm of the quotient. 3°. Find from the Tables the corresponding number. This will be the required quotient.
Página 2 - S3". 6. Besides the above-mentioned unit of angular measure, viz. the 90th part of a right angle, which is always used in practical applications, there is another, viz. the angle at the centre of a circle which is subtended by an arc equal to the radius of the circle, which is more convenient in analytical investigations.
Página 10 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Página 29 - Thus: sin (a + a) = sin a cos a + cos a sin a or: sin 2a = 2 sin a cos a...