Plane Trigonometry |
Other editions - View all
Common terms and phrases
9 L sin 9 Ltan 9Lcos 9Lcot 9Lcot 10 Ltan acute angle angle AOA angle increases angle of depression angle of elevation changes in sign circle coincide with OX colog cologarithm cos² cosecant cosh cosine cot 9 cot² cotangent csc² decreases denominator equal equation example EXERCISE expression Find the value formulas fourth quadrant Given height Hence hypotenuse L cot 9 law of sines logarithm Ltan 9 manner mantissa measured negative number of radians obtained perpendicular Prove radians radius respectively revolving line right angle right triangle sec² secant second quadrant side sign and magnitude sin² sine sinh solution Solve subtracting take any value tan² tangent terms of functions third quadrant tion tower trigonometric functions unity Va² x₁ π π ОА ос пп
Popular passages
Page 177 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 7 - If any three parts are given, one of them being a side, the other three can be found. The process of finding the unknown parts from the given parts is called the solution of the triangle.
Page 177 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 122 - The sides of a triangle are proportional to the sines of the opposite angles.
Page 12 - A unit of plane angular measurement equal to the angle at the center of a circle subtended by an arc equal in length to the radius.
Page 11 - Every circumference is regarded as being divided into 360 equal parts, called degrees. Each degree is divided into 60 equal parts, called minutes, and each minute into 60 seconds. These divisions are indicated by the marks ° ' ". Thus 28 degrees, 17 minutes, and 49 seconds, are written 28° 17
Page 125 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum. NOTE.
Page 23 - A. p//// Hence it may be seen that the sine of an angle is the cosine of the complement of that angle; the tangent of an angle is the cotangent of its complement, and the secant of an angle is the cosecant of its complement. The functions of angles vary in sign according to the quadrant in which the angles are located. Let A A' and BB
Page 178 - The characteristic of the logarithm of a number greater than one is positive, and is one less than the number of digits in the integral part of the number.
Page 41 - ... angle of depression of the line of sight ? In the figure the height of the mountain is necessarily exaggerated. The angle is so small that the result can be found by five-place tables only between two limits which differ by 3' 40". 53. At a horizontal distance of 120 ft. from the foot of a steeple, the angle of elevation of the top is found to be 60° 30'.