Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 8
... r = 2πr = 160 ; 80 = 3.14159 160 80 2π П = 25 4648 inches , nearly . 5. Theoretical Unit of Angle - the Radian . The radian is the angle subtended at the centre of any circle by an arc equal to the radius . Let 8 TRIGONOMETRY .
... r = 2πr = 160 ; 80 = 3.14159 160 80 2π П = 25 4648 inches , nearly . 5. Theoretical Unit of Angle - the Radian . The radian is the angle subtended at the centre of any circle by an arc equal to the radius . Let 8 TRIGONOMETRY .
Página 9
... subtended at the centre by the arc AB is the radian . To justify this definition , we must show that it always gives the same angle whatever be the radius of the circle . This is easily proved if we make the assumption of the preceding ...
... subtended at the centre by the arc AB is the radian . To justify this definition , we must show that it always gives the same angle whatever be the radius of the circle . This is easily proved if we make the assumption of the preceding ...
Página 11
... subtended at the centre of a circle whose radius is 100 inches by an arc whose length is 9 inches . arc 9 The radian ... subtends the angle 63 ° 35 ′ 54 ′′ at the centre of a circle whose radius is 10 feet . . 63 ° 35 ′ 54 ′′ 63 ° .5983 ...
... subtended at the centre of a circle whose radius is 100 inches by an arc whose length is 9 inches . arc 9 The radian ... subtends the angle 63 ° 35 ′ 54 ′′ at the centre of a circle whose radius is 10 feet . . 63 ° 35 ′ 54 ′′ 63 ° .5983 ...
Página 13
... ) 20 ° . ( 7 ) 165 ° . ( 4 ) 51 ° 15 ' . 4. Express the following angles in degree measure : π π 11T П ( 1 ) 21600 ( 2 ) 900 ( 3 ) • ( 4 ) 45 12 5. Find , in degree measure , the angle subtended MEASUREMENT OF ANGLES . 13.
... ) 20 ° . ( 7 ) 165 ° . ( 4 ) 51 ° 15 ' . 4. Express the following angles in degree measure : π π 11T П ( 1 ) 21600 ( 2 ) 900 ( 3 ) • ( 4 ) 45 12 5. Find , in degree measure , the angle subtended MEASUREMENT OF ANGLES . 13.
Página 14
... subtends an angle of 45 ° in a circle whose radius is 1 miles . 7. The angle 68 ° 45 ′ 18 ′′ is subtended at the centre of a circle by an arc 4 · 625 feet ; find the radius of the circle in inches . 8. Find at what times - to the ...
... subtends an angle of 45 ° in a circle whose radius is 1 miles . 7. The angle 68 ° 45 ′ 18 ′′ is subtended at the centre of a circle by an arc 4 · 625 feet ; find the radius of the circle in inches . 8. Find at what times - to 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.