Plane and Spherical Trigonometry |
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Page 2
... minutes ( ' ) , and each minute into 60 equal parts called seconds ( " ) . Y II I P2 X III IV Pi Y ' FIG . 2 . Starting from any position . as initial side , it is evident that , for each position of the termi- nal side , there are two ...
... minutes ( ' ) , and each minute into 60 equal parts called seconds ( " ) . Y II I P2 X III IV Pi Y ' FIG . 2 . Starting from any position . as initial side , it is evident that , for each position of the termi- nal side , there are two ...
Page 3
... numerical computations . The * The protractor is the instrument generally used for measuring angles . It is graduated into degrees and half degrees . subdivisions of the degree are the minute and the second INTRODUCTION 3.
... numerical computations . The * The protractor is the instrument generally used for measuring angles . It is graduated into degrees and half degrees . subdivisions of the degree are the minute and the second INTRODUCTION 3.
Page 4
... minutes , and the minute into 100 equal parts called seconds . While this system has many admirable features , its use could not become general without recomputing with a great expenditure of labor many of the existing tables . The ...
... minutes , and the minute into 100 equal parts called seconds . While this system has many admirable features , its use could not become general without recomputing with a great expenditure of labor many of the existing tables . The ...
Page 5
... minutes , and seconds , the signs " 1 , are always expressed . In writing an angle in circular measure , usually no abbreviation is used . Thus , the angle 2 means an angle of 2 radians , the angle means an angle of T radians ...
... minutes , and seconds , the signs " 1 , are always expressed . In writing an angle in circular measure , usually no abbreviation is used . Thus , the angle 2 means an angle of 2 radians , the angle means an angle of T radians ...
Page 6
... minute hand of a watch turn through in 10 minutes ? In 35 minutes ? Ans . ; . 14. In a circle 5 in . in radius , how long an arc will subtend an angle at the center of 13 radians ? An angle of 75 ° 16 ' ? Ans . 8 in .; 6.5683 in . 15 ...
... minute hand of a watch turn through in 10 minutes ? In 35 minutes ? Ans . ; . 14. In a circle 5 in . in radius , how long an arc will subtend an angle at the center of 13 radians ? An angle of 75 ° 16 ' ? Ans . 8 in .; 6.5683 in . 15 ...
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Common terms and phrases
9 Prop acute angle amplitude base cd log cot circle co-a co-c co-ẞ colog cologarithm complex number Computation coördinates cos(a cos¹ cos² cos³ cosh cosine cot cd log cotangent cpl log d log tan distance equal equation Example EXERCISES Express figures Find the logarithm find the mantissa Find the number Find the value formulas Given horizontal hyperbolic functions imaginary unit included angle interpolating log cot cd log cot log log tan cd log tan log loga Mant mantissa miles modulus multiples Napier's rules negative nth root number corresponding plane polar triangle positive Prove radians radius right spherical triangle right triangle root sec² sin a sin sin ẞ sin² sine sinh Solution Solve sphere Spherical Trigonometry Subtracting tabular difference tan-¹ tan² tangent terminal side theorem trigonometric functions z₁ απ
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 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 - Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 6 - When the number is greater than 1, the characteristic is positive, and is one less than the number of digits to the left of the decimal point...
Page 15 - To find any power of a given number, multiply the logarithm of the number by the exponent of the power. The product is the logarithm of the power.
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 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 161 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides...
Page 14 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.