Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 19
... base , and OP the hypotenuse , the definitions of the above six trigonometrical ratios of the angle AOB are sin A = PM perpendicular OP hypotenuse OM base cos A = OP hypotenuse ' tan A TRIGONOMETRICAL RATIOS . 19.
... base , and OP the hypotenuse , the definitions of the above six trigonometrical ratios of the angle AOB are sin A = PM perpendicular OP hypotenuse OM base cos A = OP hypotenuse ' tan A TRIGONOMETRICAL RATIOS . 19.
Página 20
... base OM base cot A - secA = OM cosec A - PM perpendicular ' OP hypotenuse = base OP hypotenuse PM perpendicular A seventh ratio , the versed sine of the angle A , is defined to be the excess of unity over the cosine of A. The term ...
... base OM base cot A - secA = OM cosec A - PM perpendicular ' OP hypotenuse = base OP hypotenuse PM perpendicular A seventh ratio , the versed sine of the angle A , is defined to be the excess of unity over the cosine of A. The term ...
Página 21
... base , and the side AB corresponds to OP the hypotenuse . We are given the lengths of AB and BC ; if we knew also the length of AC , we could write down the values of the trigonometrical ratios of the angle BAC . Now the length of AC ...
... base , and the side AB corresponds to OP the hypotenuse . We are given the lengths of AB and BC ; if we knew also the length of AC , we could write down the values of the trigonometrical ratios of the angle BAC . Now the length of AC ...
Página 48
... base . Let AB be an object of which the height is required , and a D 17 let C and D be two stations in a line with A the base of the object . Let a and B de- A note the angles of elevation ACB and ADB of B the top of the object as seen ...
... base . Let AB be an object of which the height is required , and a D 17 let C and D be two stations in a line with A the base of the object . Let a and B de- A note the angles of elevation ACB and ADB of B the top of the object as seen ...
Página 50
... base of a tower a flagstaff on the tower subtends the greatest angle . Let AB be the tower surmounted by the flagstaff BC , and ADE the road leading up to A the base of the tower . It is E D A B required to find at what point in ADE the ...
... base of a tower a flagstaff on the tower subtends the greatest angle . Let AB be the tower surmounted by the flagstaff BC , and ADE the road leading up to A the base of the tower . It is E D A B required to find at what point in ADE 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.