Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 19
... cosine , tangent , cotangent , secant , and cosecant are usually abbreviated into sin , cos , tan , cot , sec , and cosec . Denoting the angle AOB by the letter A , and , in the triangle POM , calling PM the perpendicular , OM the base ...
... cosine , tangent , cotangent , secant , and cosecant are usually abbreviated into sin , cos , tan , cot , sec , and cosec . Denoting the angle AOB by the letter A , and , in the triangle POM , calling PM the perpendicular , OM the base ...
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 - cos A. 14. Trigonometrical Ratios depend only on the Angle . B 5 N It is evident ...
... 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 - cos A. 14. Trigonometrical Ratios depend only on the Angle . B 5 N It is evident ...
Página 21
... cos = π & c . tang ' π π π cos , tan60 ° The values of the trigonometrical ratios of angles are cal- culated by the higher parts of Trigonometry , but in a few particular cases the values may be found by simple geometrical constructions ...
... cos = π & c . tang ' π π π cos , tan60 ° The values of the trigonometrical ratios of angles are cal- culated by the higher parts of Trigonometry , but in a few particular cases the values may be found by simple geometrical constructions ...
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 the ...
... 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 the ...
Página 23
... cos A - AB AC BC sin B- = cos B = AB ' AB Hence we see that cosA = sinB , and sinA = cos B , or , the 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 of the ...
... cos A - AB AC BC sin B- = cos B = AB ' AB Hence we see that cosA = sinB , and sinA = cos B , or , the 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 of the ...
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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.