Elementary text-book of trigonometryBlackie & Son, 1884 - 176 páginas |
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Página 19
... cosine of the angle AOB is the ratio of the length of OM to the length of OP , or ; OM OP the tangent of the angle ... cosine , tangent , cotangent , secant , and cosecant are usually abbreviated into sin , cos , tan , cot , sec , and ...
... cosine of the angle AOB is the ratio of the length of OM to the length of OP , or ; OM OP the tangent of the angle ... cosine , tangent , cotangent , secant , and cosecant are usually abbreviated into sin , cos , tan , cot , sec , and ...
Página 20
... cosine of A. The term , versed sine of the angle A , is usually abbreviated into versA , so that the definition is equivalent to the equation versA 1- cosA . = 14. Trigonometrical Ratios depend only on the Angle . It is evident from the ...
... cosine of A. The term , versed sine of the angle A , is usually abbreviated into versA , so that the definition is equivalent to the equation versA 1- cosA . = 14. Trigonometrical Ratios depend only on the Angle . It is evident from the ...
Página 22
... cosine of the angle BAC . 15. Complement of an Angle . The complement of an angle is the difference between the angle and a right angle . If A is the degree measure of an angle , 90 ° - A is the degree measure of the complement of π ...
... cosine of the angle BAC . 15. Complement of an Angle . The complement of an angle is the difference between the angle and a right angle . If A is the degree measure of an angle , 90 ° - A is the degree measure of the complement of π ...
Página 23
... Cosine , Cotan- gent , Cosecant . Let ABC be a triangle in which the angle C is a right angle , so that the two ... cosine of an angle is equal to the sine of the complement of the angle , and the sine of an angle is equal to the cosine ...
... Cosine , Cotan- gent , Cosecant . Let ABC be a triangle in which the angle C is a right angle , so that the two ... cosine of an angle is equal to the sine of the complement of the angle , and the sine of an angle is equal to the cosine ...
Página 24
... ; cos - 15 ° = √2 CA AB a √2 α V2 AC a 1 ; cot45 ° = 1 ; BC a = a √2 α = √2 ; cosec45 ° vers45 ° 1 - cos45 ° = 1 - - 1 = AB a√2 = √2 ; = BC α The student will notice that the values of the cosine √2 24 TRIGONOMETRY .
... ; cos - 15 ° = √2 CA AB a √2 α V2 AC a 1 ; cot45 ° = 1 ; BC a = a √2 α = √2 ; cosec45 ° vers45 ° 1 - cos45 ° = 1 - - 1 = AB a√2 = √2 ; = BC α The student will notice that the values of the cosine √2 24 TRIGONOMETRY .
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Términos y frases comunes
angle AOB applications base bears becomes boards calculations called centre changes CHAPTER characteristic circle circumference cloth complement consider contains cos2A cosA cosB cosC cosecA cosine cotA decimal definitions degree measure denote described determined diameter difference direction distance dividing drawn equal equation Euclid EXAMPLES Express feet figure find the values formula fraction given greater height Hence inches increases length logarithm magnitude miles minutes nearly negative object observed opposite perpendicular polygon positive Prove radian measure radius Reader regular relations represented respectively revolving right angle right-angled triangle root secA sides Similarly sin2A sinA sinB sinC sine Solve square Standard subtends taking tanA tangent third tower triangle triangle ABC trigonometrical ratios usual written 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.