Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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... greater than 5 . The sets of Examples marked A , B , C , & c . , and also the Miscellaneous Examples at the end , may be omitted on a first reading . It is hoped that this Text - book will be found useful to students pre- paring for ...
... greater than 5 . The sets of Examples marked A , B , C , & c . , and also the Miscellaneous Examples at the end , may be omitted on a first reading . It is hoped that this Text - book will be found useful to students pre- paring for ...
Página 3
... greater than 5 . The sets of Examples marked A , B , C , & c . , and also the Miscellaneous Examples at the end , may be omitted on a first reading . It is hoped that this Text - book will be found useful to students pre- paring for ...
... greater than 5 . The sets of Examples marked A , B , C , & c . , and also the Miscellaneous Examples at the end , may be omitted on a first reading . It is hoped that this Text - book will be found useful to students pre- paring for ...
Página 27
... greater than sin30 ° ( = ' } ) , and sin60 ° ( = √3 ) is greater than sin45 ° . This increase 2 in the value of the sine continues until the angle AOP is a right angle , and then PM = OP , or sin90 ° = 1 . For the cosine of AOP the ...
... greater than sin30 ° ( = ' } ) , and sin60 ° ( = √3 ) is greater than sin45 ° . This increase 2 in the value of the sine continues until the angle AOP is a right angle , and then PM = OP , or sin90 ° = 1 . For the cosine of AOP the ...
Página 28
... greater and greater becomes the tangent , and when the angle is infinitely close to 90 ° the tangent will be greater than any number which may be chosen . This is expressed shortly by saying that the tangent of 90 ° is infinitely great ...
... greater and greater becomes the tangent , and when the angle is infinitely close to 90 ° the tangent will be greater than any number which may be chosen . This is expressed shortly by saying that the tangent of 90 ° is infinitely great ...
Página 33
... 8 relations , and therefore all others which may be deduced from them , are also true when the angle A is greater than a right angle . ( 254 ) с Ex . 1. Show that Since and therefore Similarly sin2A TRIGONOMETRICAL RATIOS . 33.
... 8 relations , and therefore all others which may be deduced from them , are also true when the angle A is greater than a right angle . ( 254 ) с Ex . 1. Show that Since and therefore Similarly sin2A TRIGONOMETRICAL RATIOS . 33.
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Términos y frases comunes
angle AOB angle BAC angle increases angle less Article base centre circumference cloth boards common logarithm complement cos(A+B cos2A cos4A cosB cosC cose cosecA cosine cotA cotangent decimal places degree measure diameter distance equal equation Euclid EXAMPLES feet Find the angle Find the height find the number find the values flagstaff following angles formula given Hence hypotenuse inches log2 loga logarithms of numbers magnitude mantissa miles negative numbers number expressing number of degrees numerical value perpendicular positive Prove quadrant radian measure radii ratios of angles regular polygon respectively right angle right-angled triangle sec²A secA secant side BC Similarly sin(A sin(A+B sin2A sin2B sin3A sinB sine sine and cosine square root table of logarithms tan(A+B tan²A tanA tanB tangent tanß tower triangle ABC trigono trigonometrical ratios unit of angle yards
Pasajes populares
Página 90 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a".
Página 90 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Página 118 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Página 149 - Find the length of the side of a square whose area is equal to that of a rectangle the sides of which are 94 '28 and 6720 yards.
Página 89 - The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number.
Página 158 - The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5.