Plane Trigonometry and TablesGinn, 1914 - 314 páginas |
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... applications . With respect to sequence the rule has been followed that the practical use of every new feature should be clearly set forth before the abstract theory is developed . For example , it will be noticed that the definite uses ...
... applications . With respect to sequence the rule has been followed that the practical use of every new feature should be clearly set forth before the abstract theory is developed . For example , it will be noticed that the definite uses ...
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... APPLICATIONS IX . PLANE SAILING . PAGE 1 27 2884 63 77 39 25 97 107 133 145 X. GRAPHS OF FUNCTIONS 151 • XI . TRIGONOmetric Identities and EquATIONS 163 XII . APPLICATIONS OF TRIGONOMETRY TO ALGEBRA . 173 THE MOST IMPORTANT FORMULAS OF ...
... APPLICATIONS IX . PLANE SAILING . PAGE 1 27 2884 63 77 39 25 97 107 133 145 X. GRAPHS OF FUNCTIONS 151 • XI . TRIGONOmetric Identities and EquATIONS 163 XII . APPLICATIONS OF TRIGONOMETRY TO ALGEBRA . 173 THE MOST IMPORTANT FORMULAS OF ...
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... = 0.6537 , what is 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.
... = 0.6537 , what is 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.
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George Wentworth. 29. Application to the Right Triangle . In §§ 15-21 we learned how to use the several functions in finding various parts of a right triangle from other given parts , the angles being in exact degrees . In §§ 25-28 we ...
George Wentworth. 29. Application to the Right Triangle . In §§ 15-21 we learned how to use the several functions in finding various parts of a right triangle from other given parts , the angles being in exact degrees . In §§ 25-28 we ...
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... log 10+ log 1000+ log 0.1 + log 0.001 0 . 47. log 1+ log 100+ log 10,000 + log 0.01 + log 0.0001 = 0 . 48. log 10,000 log 1000+ log 100,000 log 100 = 4 . - 29. Application to the Right Triangle . In §§ 15-21 LOGARITHMS 41.
... log 10+ log 1000+ log 0.1 + log 0.001 0 . 47. log 1+ log 100+ log 10,000 + log 0.01 + log 0.0001 = 0 . 48. log 10,000 log 1000+ log 100,000 log 100 = 4 . - 29. Application to the Right Triangle . In §§ 15-21 LOGARITHMS 41.
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9 log absolute value acute angle angle of depression angle of elevation antilogarithm base characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cosine cot log cotangent cotx decimal places degree diameter divided equation example Exercise Find log Find the antilogarithm Find the area Find the distance Find the height Find the length Find the number Find the value formula given number given the following graph Hence horizontal hypotenuse included angle integers interpolation isosceles triangle Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa multiply negative plane polygon positive quadrant radians radius right triangle roots secant secx sexagesimal ship sails sin log cos sin(x sin² sin²x Solve subtends subtract tabular difference tangent triangle ABC trigonometry whence
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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.