## Plane Trigonometry |

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### Common terms and phrases

acute addition amplitude angle approaches arccos arcsin arctan axes base called circle colog components computation construction corresponding cos² cosine Cotg decimal denote derived determined difference digit direction distance dividing Draw equal equations example Exercise Express feet figures Find Find the value forces formulas given gives graph horizontal imaginary inches increases integer length less limit line segment logarithms magnitude measured miles multiplied negative Note obtain opposite origin perpendicular places plane positive powers Prop quadrant radians radius ratio relation remaining represented respectively right triangle roots rule scale Show sides signs sin² sine slide solution Solve student Tang tangent terminal theorem trace triangle trigonometric functions values variation varies vector vertical

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Page 28 - The characteristic of the logarithm of any number greater than unity, is one less than the number of integral figures in the given number.

Page 115 - Reduce to the degree system : 4Ä, -6ß, lï?, ^f, -lif. 3 о 2 5. Find the lengths of the arcs subtended by the following angles at the center of a circle of radius 6 : 45°, 120°, 270°, —, —, — • 483 6. A polygon of n sides is inscribed in a circle of radius r. Find the length of the arc subtended by one side. Compute the numerical values if r = 10 and n = 3, 4, 5, 6, 8. 7. Taking the radius of the earth to be 4000 miles, find the difference in latitude of two points on the same meridian...

Page 26 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 24 - The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a.

Page 26 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 65 - ... generates an angle. The angle is measured by the amount of rotation by which the line is brought from its original position into its terminal position. For the small rotation leading to acute and obtuse angles this definition agrees with the customary elementary definition, the knowledge of which has been presupposed in the foregoing chapters. As in Art. 3, counterclockwise rotation generates positive angles ; clockwise rotation, negative. In the sexagesimal system of angle measurement the standard...

Page 101 - We have then the law that the absolute value of the product of two complex numbers equals the product of their absolute values, while the amplitude of the product equals the sum of their amplitudes.

Page 28 - 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.