Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 17
... tangents to the curve at A and B. 5. A ship sails 380 miles due south ; find the change in the latitude , taking the earth as a sphere of 4000 miles radius . 6. Two straight lines include an angle , and with their point of intersection ...
... tangents to the curve at A and B. 5. A ship sails 380 miles due south ; find the change in the latitude , taking the earth as a sphere of 4000 miles radius . 6. Two straight lines include an angle , and with their point of intersection ...
Página 19
... tangent of the angle AOB is the ratio of the length of PM to the length of OM , or PM OM the cotangent of the angle ... tangent , cotangent , secant , and cosecant are usually abbreviated into sin , cos , tan , cot , sec , and cosec ...
... tangent of the angle AOB is the ratio of the length of PM to the length of OM , or PM OM the cotangent of the angle ... tangent , cotangent , secant , and cosecant are usually abbreviated into sin , cos , tan , cot , sec , and cosec ...
Página 22
... tangent , the sine , and 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 ...
... tangent , the sine , and 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 ...
Página 23
... tangent and cotangent , and also for secant and cosecant . Thus the co- sine , the cotangent , and the cosecant of an angle are equal respectively to the sine , the tangent , and the secant of the complement of the angle , and these ...
... tangent and cotangent , and also for secant and cosecant . Thus the co- sine , the cotangent , and the cosecant of an angle are equal respectively to the sine , the tangent , and the secant of the complement of the angle , and these ...
Página 25
... tangent , and the secant . This might have been foreseen , as 45 ° is the complement of 45 ° . It must also be observed that we get the ratios of 45 ° as numbers , and therefore the values of these ratios are altogether independent of ...
... tangent , and the secant . This might have been foreseen , as 45 ° is the complement of 45 ° . It must also be observed that we get the ratios of 45 ° as numbers , and therefore the values of these ratios are altogether independent of ...
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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.