Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 21
... angle AOB has the same value from whichever of the three triangles it is defined . Hence the numerical value of the ... BAC . Comparing this triangle ABC with the tri- angle OPM of Art . 13 , we see that in applying A the definitions to ...
... angle AOB has the same value from whichever of the three triangles it is defined . Hence the numerical value of the ... BAC . Comparing this triangle ABC with the tri- angle OPM of Art . 13 , we see that in applying A the definitions to ...
Página 22
... angle BAC , as we know the lengths of the three sides of the right - angled triangle ABC . = AC 5 BC 12 ' Thus sin BAC = BC AB = 12 13 ' cosBAC = AC 5 AB 13 = BC 12 tan BAC = = cot BAC = AC 5 secBAC = AB 13 = cosecBAC - AC 5 versBAC = 1 ...
... angle BAC , as we know the lengths of the three sides of the right - angled triangle ABC . = AC 5 BC 12 ' Thus sin BAC = BC AB = 12 13 ' cosBAC = AC 5 AB 13 = BC 12 tan BAC = = cot BAC = AC 5 secBAC = AB 13 = cosecBAC - AC 5 versBAC = 1 ...
Página 23
... angle , π 0 is the radian measure of the complement of the angle . For example , the complements of the four 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 ...
... angle , π 0 is the radian measure of the complement of the angle . For example , the complements of the four 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 ...
Página 24
... 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 ; then the length of the hypotenuse AB can be found by Euclid I. 47. For by that proposi- u tion , AB2 ...
... 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 ; then the length of the hypotenuse AB can be found by Euclid I. 47. For by that proposi- u tion , AB2 ...
Página 42
... angle , show that ( 1 ) sc = 1 + 12 ° ( 4 ) = 1 1 + 12 t2 1 ( 2 ) ct = s ... angles enable us to combine in equations the angles and sides of right - angled ... BAC , CBA , and ACB of any B 12 triangle ABC by the letters A , B , and C ...
... angle , show that ( 1 ) sc = 1 + 12 ° ( 4 ) = 1 1 + 12 t2 1 ( 2 ) ct = s ... angles enable us to combine in equations the angles and sides of right - angled ... BAC , CBA , and ACB of any B 12 triangle ABC by the letters A , B , and C ...
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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.