Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 11
... bear to π the same ratio that the number of degrees in the angle bears to 180. Thus π π π the radian measure of 90 ° is of 60 ° is of 45 ° is of 30 ° is π 6 ' 2 ' 4 ' π of 1 ° is & c . Generally , the radian measure of D degrees 180 ...
... bear to π the same ratio that the number of degrees in the angle bears to 180. Thus π π π the radian measure of 90 ° is of 60 ° is of 45 ° is of 30 ° is π 6 ' 2 ' 4 ' π of 1 ° is & c . Generally , the radian measure of D degrees 180 ...
Página 12
... bear to π the same ratio that the number of degrees in the angle bears to 180. Thus П π π the radian measure of 90 ° is of 60 ° is of 45 ° is of 30 ° is π 6 ' 2 ' 4 ' π of 1 ° is & c . Generally , the radian measure of D degrees 180 ...
... bear to π the same ratio that the number of degrees in the angle bears to 180. Thus П π π the radian measure of 90 ° is of 60 ° is of 45 ° is of 30 ° is π 6 ' 2 ' 4 ' π of 1 ° is & c . Generally , the radian measure of D degrees 180 ...
Página 49
... bears 4 miles due north of the lightship . Find his distance from the lightship , given sin 67 ° 30 ′ = ' 924 . 4. Simultaneous observations of a balloon are taken at two ( 254 ) D stations , 900 yards apart . At one station the ...
... bears 4 miles due north of the lightship . Find his distance from the lightship , given sin 67 ° 30 ′ = ' 924 . 4. Simultaneous observations of a balloon are taken at two ( 254 ) D stations , 900 yards apart . At one station the ...
Página 53
... bears due West and the angle of depression is 26 ° 34 ' . What is the angle of depression of another buoy 70 feet due South of the former one ? 3. The angle of elevation of the mainmast - head of a ship in harbour is 60 ° at a distance ...
... bears due West and the angle of depression is 26 ° 34 ' . What is the angle of depression of another buoy 70 feet due South of the former one ? 3. The angle of elevation of the mainmast - head of a ship in harbour is 60 ° at a distance ...
Página 54
... bears due North and C bears N.N.W .; from B , C bears due West . distance BC if AB is 1000 yards . Find the 5. A ladder , 40 feet long , when inclined to the vertical at an angle of 20 ° , just reaches the top of a building . Find the ...
... bears due North and C bears N.N.W .; from B , C bears due West . distance BC if AB is 1000 yards . Find the 5. A ladder , 40 feet long , when inclined to the vertical at an angle of 20 ° , just reaches the top of a building . Find 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.