Plane Trigonometry with Tables |
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Page x
... multiples of 0 .. 103. Hyperbolic functions . • • 104. Relations between the hyperbolic functions . 105. Relations between the trigonometric and the hyperbolic functions . 106. Expression of sinh x and cosh x in a series . Computation ...
... multiples of 0 .. 103. Hyperbolic functions . • • 104. Relations between the hyperbolic functions . 105. Relations between the trigonometric and the hyperbolic functions . 106. Expression of sinh x and cosh x in a series . Computation ...
Page 65
... 2π . Any angle . a greater than 2 π has the same trigonometric functions as a minus an integral multiple of 2π , because a and a 2 n have the T S - same initial and terminal sides . That is , the TRIGONOMETRIC FUNCTIONS 65.
... 2π . Any angle . a greater than 2 π has the same trigonometric functions as a minus an integral multiple of 2π , because a and a 2 n have the T S - same initial and terminal sides . That is , the TRIGONOMETRIC FUNCTIONS 65.
Page 66
... multiple of 90 ° plus or minus an acute angle 0. If the multiple of 90 ° is even , take the same func- tion of 0 as of the original angle ; if the multiple of 90 ° is odd , take the co - function of 0. In either case prefix the ...
... multiple of 90 ° plus or minus an acute angle 0. If the multiple of 90 ° is even , take the same func- tion of 0 as of the original angle ; if the multiple of 90 ° is odd , take the co - function of 0. In either case prefix the ...
Page 67
... multiple of 90 ° is even , therefore the same function , that is , the sine of the acute angle 70 ° , is taken . The ... multiple of lies between two consecutive multiples of π , and either multiple may be used in the reduction . 2. tan ...
... multiple of 90 ° is even , therefore the same function , that is , the sine of the acute angle 70 ° , is taken . The ... multiple of lies between two consecutive multiples of π , and either multiple may be used in the reduction . 2. tan ...
Page 68
... multiple of 360 ° , or 2 π radians , added to or sub- tracted from these two values will give other angles having ... multiples of 2 π to each angle . 0 54. Values for all angles that have a given 68 PLANE TRIGONOMETRY Proof of the ...
... multiple of 360 ° , or 2 π radians , added to or sub- tracted from these two values will give other angles having ... multiples of 2 π to each angle . 0 54. Values for all angles that have a given 68 PLANE TRIGONOMETRY Proof of the ...
Common terms and phrases
½ π 9 Prop abscissa acute angle amplitude angle of elevation base cd log cot colog cologarithm complex number computations coördinates cos² cos³ cosh cosine cot cd log cot² cotangent cpl log decimal Draw equal equation Example Express figures Find the angle Find the area Find the number Find the value formulas given hyperbolic functions imaginary unit log cot cd log cot log log tan cd log tan log loga loge M₁P₁ Mant mantissa measured miles per hour modulus multiples negative nth root number corresponding ordinate P₁ positive Prove radians radius right triangle root sec² segment sin a sin sin ß sin² sin³ sine sinh Solution Solve subtract tabular difference tan² tangent terminal side theorem trigonometric functions unit circle vector vertical α α
Popular passages
Page 2 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 139 - The cube root of a number is one of the three equal factors of the number. Thus the cube...
Page 101 - CASE II. Given two sides and an angle opposite one of them. CASE III.
Page 13 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 101 - In any triangle the sides are proportional to the sines of the opposite angles.
Page ii - Electrical World The Engineering andMining Journal Engineering Record Engineering News Railway Age Gazette American Machinist Signal Engineer American Engineer Electric Railway Journal Coal Age Metallurgical and Chemical Engineering Power ANALYSIS BY EDWARD G.
Page 4 - In it the right angle is divided into 100 equal parts called grades, the grade into 100 equal parts called minutes, and the minute into 100 equal parts called seconds.
Page 110 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Page 14 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.
Page 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.