## Trigonometry |

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acute angle angle of elevation angle opposite angular speed Arccos Arcsin Arctan axes called cd L Ctn circle colog COMMON LOGARITHMS components congruent angles construct coördinates cos² cosine law cotangent Ctn c d denotes determine direction equal Example EXERCISES Find the angle Find the distance force formulas geometry given angle graph hence hypotenuse included angle law of cosines law of sines law of tangents length magnitude mantissa method negative obtuse angle perpendicular polar triangle positive angle Proj Prove Quad radian measure radius read as printed resultant revolutions per minute right angle right triangle rotation sec² segment side opposite simple harmonic motions sin² solution spherical triangle subtends subtract tabular difference tan² terminal side theorem tion trigonometric functions velocity vertex whence x-axis y-axis zero

### Popular passages

Page 137 - I. The logarithm of a product is equal to the sum of the logarithms of the factors : log ab = log a + log 6. This follows from the fact that if 10!

Page 137 - RULE II. 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 121 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 87 - A 1 + cos A 1 + cos A 1 - cos A sin A PRACTICE EXERCISES Use the identities above to find each function value.

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 137 - The logarithm of every number between 10 and 100 is some number between 1 and 2, ie, is 1 plus a fraction. The logarithm of every number between 100 and 1000 is some number between 2 and 3, ie, is 2 plus a fraction, and so on.

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.