Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 21
... ABC is a triangle in which the angle BCA is a right angle . The lengths of the two sides AB and BC are 13 feet and 12 feet respectively . Find the values of the trigo- nometrical ratios of the angle BAC . Comparing this triangle ABC ...
... ABC is a triangle in which the angle BCA is a right angle . The lengths of the two sides AB and BC are 13 feet and 12 feet respectively . Find the values of the trigo- nometrical ratios of the angle BAC . Comparing this triangle ABC ...
Página 22
... ABC is a triangle in which the angle BCA is a right angle and the lengths of the two sides BC and CA are 7 feet and 24 feet respectively ; find the values of all the trigono- metrical ratios of the angle ABC . 3. ABC is a triangle in ...
... ABC is a triangle in which the angle BCA is a right angle and the lengths of the two sides BC and CA are 7 feet and 24 feet respectively ; find the values of all the trigono- metrical ratios of the angle ABC . 3. ABC is a triangle in ...
Página 23
... ABC be a triangle in which the angle C is a right angle , so that the two angles BAC and ABC are com- plementary . If A and B denote these two angles , we have by the definitions 7 sinA = BC AB ' AC cos A - AB AC BC sin B- = cos B = AB ...
... ABC be a triangle in which the angle C is a right angle , so that the two angles BAC and ABC are com- plementary . If A and B denote these two angles , we have by the definitions 7 sinA = BC AB ' AC cos A - AB AC BC sin B- = cos B = AB ...
Página 24
... ABC be a triangle in which the angle C is a right angle and the sides AC and BC are equal . Then the angles BAC and ABC are each equal to 45 ° or radians . Let a de- 45 ° A a√2 8 π 4 B note the length of either of the two equal sides ...
... ABC be a triangle in which the angle C is a right angle and the sides AC and BC are equal . Then the angles BAC and ABC are each equal to 45 ° or radians . Let a de- 45 ° A a√2 8 π 4 B note the length of either of the two equal sides ...
Página 25
... ABC be an equilateral triangle , and from any angular point B let BD be drawn per- pendicular to the opposite side AC ; then the triangle ABD is a right - angled triangle in which the angle BAD is 60 ° and the angle ABD is 30 ° . Let a ...
... ABC be an equilateral triangle , and from any angular point B let BD be drawn per- pendicular to the opposite side AC ; then the triangle ABD is a right - angled triangle in which the angle BAD is 60 ° and the angle ABD is 30 ° . Let a ...
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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.