Plane Trigonometry and TablesGinn, 1914 - 314 páginas |
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... page that is at the same time pleasing to the eye and inviting to the mind will com- mend itself to and will meet with the approval of the many friends of the series of which this work is a part . GEORGE WENTWORTH DAVID EUGENE SMITH ...
... page that is at the same time pleasing to the eye and inviting to the mind will com- mend itself to and will meet with the approval of the many friends of the series of which this work is a part . GEORGE WENTWORTH DAVID EUGENE SMITH ...
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... 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 PLANE TRIGONOMETRY 185 • · PLANE ...
... 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 PLANE TRIGONOMETRY 185 • · PLANE ...
Página 10
... page 11 and will suffice for the work required on the next few pages . This table gives the values of the functions to four decimal places for every degree from 0 to 90 ° . All such values are only approximate , the values of the ...
... page 11 and will suffice for the work required on the next few pages . This table gives the values of the functions to four decimal places for every degree from 0 to 90 ° . All such values are only approximate , the values of the ...
Página 12
... page 11 cos A sec A = 1 , and tan A cot A = 1. For example , we find sin 27 ° csc 27 ° thus : sin 27 ° 0.4540 . = csc 27 ° = 2.2027 . Therefore sin 27 ° csc 27 ° 0.4540 × 2.2027 = 1.00002580 , or approximately 1 . = = We have shown that ...
... page 11 cos A sec A = 1 , and tan A cot A = 1. For example , we find sin 27 ° csc 27 ° thus : sin 27 ° 0.4540 . = csc 27 ° = 2.2027 . Therefore sin 27 ° csc 27 ° 0.4540 × 2.2027 = 1.00002580 , or approximately 1 . = = We have shown that ...
Página 14
... page 11 gives only the first four figures of sin 40 ° , we can expect only the first four figures of the 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 ...
... page 11 gives only the first four figures of sin 40 ° , we can expect only the first four figures of the 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 ...
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Términos y frases comunes
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
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.