Plane and Spherical Trigonometry |
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Page v
... taken in schools . of technology . Yet it is hoped that teachers of mathematics in classical colleges and universities as well will find it suited to their needs . It is useless to claim any great originality in treatment or in the ...
... taken in schools . of technology . Yet it is hoped that teachers of mathematics in classical colleges and universities as well will find it suited to their needs . It is useless to claim any great originality in treatment or in the ...
Page 2
... taken , the angle is said to be positive . If OX revolves in a clockwise direction to a position , as OB , the angle generated is said to be negative . In reading an angle , the letter on the initial side is read first to give the ...
... taken , the angle is said to be positive . If OX revolves in a clockwise direction to a position , as OB , the angle generated is said to be negative . In reading an angle , the letter on the initial side is read first to give the ...
Page 3
Claude Irwin Palmer, Charles Wilbur Leigh. If OX is taken as the initial side of an angle , the angle is said to lie in the quadrant in which its terminal side lies . Thus , XOP1 , Fig . 2 , lies in the third quadrant , and XOP2 , formed ...
Claude Irwin Palmer, Charles Wilbur Leigh. If OX is taken as the initial side of an angle , the angle is said to lie in the quadrant in which its terminal side lies . Thus , XOP1 , Fig . 2 , lies in the third quadrant , and XOP2 , formed ...
Page 5
... taken as 57.3 ° . Conversely , 180 ° = π radians . π .. 1 ° = = 0.0174533- radians . 180 To convert radians to degrees , multiply the number of radians by 180 or 57.29578- . π To convert degrees to radians , multiply the number of ...
... taken as 57.3 ° . Conversely , 180 ° = π radians . π .. 1 ° = = 0.0174533- radians . 180 To convert radians to degrees , multiply the number of radians by 180 or 57.29578- . π To convert degrees to radians , multiply the number of ...
Page 6
... taken as the unit ? When radians is taken as the unit ? when the radian is taken as the unit ? What is the measure of each when the π 5. What is the measure of each of the following angles when the right angle is taken as the unit : 1 ...
... taken as the unit ? When radians is taken as the unit ? when the radian is taken as the unit ? What is the measure of each when the π 5. What is the measure of each of the following angles when the right angle is taken as the unit : 1 ...
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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.