Plane and Spherical Trigonometry |
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Page x
... Square roots of a number ... 136 138 138 97. Cube roots of a number .... 98. To find the nth roots of a number . 139 141 99. Expansion of sin no and cos no .. 143 100. Computation of trigonometric functions . 145 101. Exponential values ...
... Square roots of a number ... 136 138 138 97. Cube roots of a number .... 98. To find the nth roots of a number . 139 141 99. Expansion of sin no and cos no .. 143 100. Computation of trigonometric functions . 145 101. Exponential values ...
Page 6
... square , pentagon , hexagon , octagon , 59 - gon . Ans . π ; } ; } π ; } π ; 2 π ; §§ π . 13. How many radians does the minute hand of a watch turn through in 10 minutes ? In 35 minutes ? Ans . ; . 14. In a circle 5 in . in radius , how ...
... square , pentagon , hexagon , octagon , 59 - gon . Ans . π ; } ; } π ; } π ; 2 π ; §§ π . 13. How many radians does the minute hand of a watch turn through in 10 minutes ? In 35 minutes ? Ans . ; . 14. In a circle 5 in . in radius , how ...
Page 39
... square roots is at hand . ( 3 ) Compute by substituting the given values in the formulas and evaluating . ( 4 ) Arrange the work neatly and systematically , as this conduces to accuracy and therefore speed . ( 5 ) Always check . This ...
... square roots is at hand . ( 3 ) Compute by substituting the given values in the formulas and evaluating . ( 4 ) Arrange the work neatly and systematically , as this conduces to accuracy and therefore speed . ( 5 ) Always check . This ...
Page 48
... square yards of cloth in a conical tent with a cir- cular base , and the vertical angle 72 ° , the center pole being 12 ft . high . Ans . 45.14 . 30. A wheel 4 ft . in diameter and an axle 6 in . in diameter and 5 ft . long are fastened ...
... square yards of cloth in a conical tent with a cir- cular base , and the vertical angle 72 ° , the center pole being 12 ft . high . Ans . 45.14 . 30. A wheel 4 ft . in diameter and an axle 6 in . in diameter and 5 ft . long are fastened ...
Page 56
... square root of times the height of the point of observation in feet . The height of the point of observation in feet is of the distance of the horizon in miles . Definition . The angle APC = 0 in Fig . 47 is called the dip of the ...
... square root of times the height of the point of observation in feet . The height of the point of observation in feet is of the distance of the horizon in miles . Definition . The angle APC = 0 in Fig . 47 is called the dip of the ...
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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.