Plane Trigonometry and TablesGinn, 1914 - 314 páginas |
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Resultados 1-5 de 40
Página 9
... results : 13. sin 45 ° to sin 30 ° . 19. sin 30 ° to sin 60 ° . 14. cos 45 ° to cos 30 ° . 20. cos 30 ° to cos 60 ° . 15. tan 45 ° to tan 30 ° . 21. tan 30 ° to tan 60 ° . 16. cot 45 ° to cot 30 ° . 22. cot 30 ° to cot 60 ° . 17. sec 45 ...
... results : 13. sin 45 ° to sin 30 ° . 19. sin 30 ° to sin 60 ° . 14. cos 45 ° to cos 30 ° . 20. cos 30 ° to cos 60 ° . 15. tan 45 ° to tan 30 ° . 21. tan 30 ° to tan 60 ° . 16. cot 45 ° to cot 30 ° . 22. cot 30 ° to cot 60 ° . 17. sec 45 ...
Página 14
... result to be correct . We therefore say that a 24.43 . If the third decimal place were less than 5 , the value of a would be written 24.42 + . Some check should always be applied to the result . In this case we may proceed as follows ...
... result to be correct . We therefore say that a 24.43 . If the third decimal place were less than 5 , the value of a would be written 24.42 + . Some check should always be applied to the result . In this case we may proceed as follows ...
Página 31
... result given in the table on page 28 . But if we wish to find tan 89.6 ° from tan 89.5 ° and tan 89.7 ° , we cannot use this method because here the changes are very great , as is always the case with the tangents and secants of angles ...
... result given in the table on page 28 . But if we wish to find tan 89.6 ° from tan 89.5 ° and tan 89.7 ° , we cannot use this method because here the changes are very great , as is always the case with the tangents and secants of angles ...
Página 33
... the value of x ? of cotx ? 57. If cot a = 1.6550 , what is the value of x ? of tan x ? Verify the second result by the relation tan x = 1 / cot x . 29. Application to the Right Triangle . In §§ 15-21 NATURAL FUNCTIONS 33.
... the value of x ? of cotx ? 57. If cot a = 1.6550 , what is the value of x ? of tan x ? Verify the second result by the relation tan x = 1 / cot x . 29. Application to the Right Triangle . In §§ 15-21 NATURAL FUNCTIONS 33.
Página 35
... result is given to four figures only . The check is left for the student . 31. Given an Acute Angle and the Opposite Side . For example , given A = 13 ° 58 ' , a = 15.2 , find B , b , and c . 1. B = 90 ° — A = 76 ° 2 ' . b 2 . == cot A ...
... result is given to four figures only . The check is left for the student . 31. Given an Acute Angle and the Opposite Side . For example , given A = 13 ° 58 ' , a = 15.2 , find B , b , and c . 1. B = 90 ° — A = 76 ° 2 ' . b 2 . == cot A ...
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Pasajes populares
Página 99 - EXERCI8E XII. 1. What do the formulas of § 36 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 43 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 43 - 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 98 - The sides of a triangle are proportional to the sines of the opposite angles.
Página 47 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 141 - 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).
Página 41 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 118 - I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Página 59 - From the top of a hill the angles of depression of two objects situated in the...
Página 21 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.