Trigonometry |
From inside the book
Results 1-5 of 55
Page v
... solution are included . Thus , the addition formulas , as such , the solution of trigonometric equations , and all reference to angles larger than 180 ° , are unnecessary for any process of solution of plane triangles . In order to ...
... solution are included . Thus , the addition formulas , as such , the solution of trigonometric equations , and all reference to angles larger than 180 ° , are unnecessary for any process of solution of plane triangles . In order to ...
Page vi
... solution of triangles occupies the first five pages ; the principles of trigonometric solution of right triangles are completed in the next ten pages ; accurate solu- tion of right triangles , the principles of solution of oblique tri ...
... solution of triangles occupies the first five pages ; the principles of trigonometric solution of right triangles are completed in the next ten pages ; accurate solu- tion of right triangles , the principles of solution of oblique tri ...
Page vii
... Solution of Triangles § 3. Preliminary Estimate . Exercises I. Check Graphical Solution of Triangles § 4. Squared Paper . Rectangular Coördinates Exercises II . Squared Paper PAGES 1-6 • 1 1 2 3 4 5 CHAPTER II RIGHT TRIANGLES USE OF ...
... Solution of Triangles § 3. Preliminary Estimate . Exercises I. Check Graphical Solution of Triangles § 4. Squared Paper . Rectangular Coördinates Exercises II . Squared Paper PAGES 1-6 • 1 1 2 3 4 5 CHAPTER II RIGHT TRIANGLES USE OF ...
Page viii
... SOLUTION 25-47 · 25-26 25 26 · 27-33 27 • 27 · 28 • • 28 § 19. General Method for Oblique Triangles . § 20. Case I. § 21. Case II . § 22. Case III . § 23. Case IV . Exercises X. Given two Angles and a Side Given two Sides and the ...
... SOLUTION 25-47 · 25-26 25 26 · 27-33 27 • 27 · 28 • • 28 § 19. General Method for Oblique Triangles . § 20. Case I. § 21. Case II . § 22. Case III . § 23. Case IV . Exercises X. Given two Angles and a Side Given two Sides and the ...
Page x
... Solution § 83. Graphical Methods 96 96 97 98 99 99 Exercises XXXIII . Special Methods of Solution PART II INVERSE FUNCTIONS . TRANSCENDENTAL EQUATIONS 100-107 § 84. Inverse Functions § 85. Graphical Representation of Inverse Functions ...
... Solution § 83. Graphical Methods 96 96 97 98 99 99 Exercises XXXIII . Special Methods of Solution PART II INVERSE FUNCTIONS . TRANSCENDENTAL EQUATIONS 100-107 § 84. Inverse Functions § 85. Graphical Representation of Inverse Functions ...
Other editions - View all
Common terms and phrases
acute angle angle of elevation angle opposite angular speed Arccos Arcsin Arctan called circle colog cologarithm components congruent angles construct coördinates cos² cotangent Denote determine equal equation Example EXERCISES Find the angle Find the distance following triangles formulas geometry given angle given side graph hence hypotenuse included angle initial point initial side law of cosines law of sines law of tangents length magnitude mantissa method negative numerical measure obtuse angle perpendicular plane polar triangle positive angle Proj Prove Quad radian measure radius resultant revolutions revolutions per minute right angle right triangle rotation sec² second quadrant segment side opposite simple harmonic motions sin² solution spherical triangle subtends subtract tabular difference terminal side theorem tion trigonometric functions vertex vertical whence x-axis y-axis zero
Popular passages
Page 137 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 137 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result. Thus, the characteristic of log...
Page 32 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Page 113 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Page 2 - LOGARITHMS ing the proportional part corresponding to the fourth figure to the tabular number corresponding to the first three figures. There may be an error of 1 in the last place. N 0 1 2 3 4 5 6 7 8 9 123 456 789 55...
Page 87 - 1 — cos a 1 + cos a 1 + cos a * 1 + cos a sin a 16. If a numerical value of any function of a is given, all the other functions of a and of a/2 can be found geometrically from Ex. 14. Thus, if sin a = 4/5 is given, lay off OP = 5, BP = 4 ; then 07? = V52 — 4* = 3. Hence, 073 = 8, AB=2; and CP = v
Page xvii - ... duplicates of the preceding fiveplace tables, reduced to four places, and with larger intervals between the tabulations. The value of such four-place tables consists in the greater speed with which they can be used, in case the degree of accuracy they afford is sufficient for the purpose in hand.
Page 42 - The area of a triangle is equal to one half the product of the base and the altitude: A = I bx a.
Page 137 - The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, \ Therefore, tag tfï = 2 = 6.
Page 137 - In brief : to multiply, add logarithms. II. The logarithm of a fraction is equal to the difference obtained by subtracting the logarithm of the denominator from the logarithm of the numerator : log (a/6) = log a — log 6.