Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 22
... Complement of an Angle . The complement of an angle is the difference between the angle and a right angle . If A is the degree measure of an angle , 90 ° – A is the degree measure of the complement of the angle ; and if 0 is the radian ...
... Complement of an Angle . The complement of an angle is the difference between the angle and a right angle . If A is the degree measure of an angle , 90 ° – A is the degree measure of the complement of the angle ; and if 0 is the radian ...
Página 23
... complement of the angle . For example , the complements of the four angles 10 ° , 30 ° , 40 ° , 60 ° , are 80 ° , 60 ° , 50 ° , 30 ° , respectively . The same four angles π п 2п π expressed in radian measure are and the com- 18 ' 6 ' 9 ...
... complement of the angle . For example , the complements of the four angles 10 ° , 30 ° , 40 ° , 60 ° , are 80 ° , 60 ° , 50 ° , 30 ° , respectively . The same four angles π п 2п π expressed in radian measure are and the com- 18 ' 6 ' 9 ...
Página 24
... complement , and therefore sin ( ( 플 -0 ) π = cose ; cos - @ ) = sino ; & c . 17. Ratios for 45 ° . Let 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 ...
... complement , and therefore sin ( ( 플 -0 ) π = cose ; cos - @ ) = sino ; & c . 17. Ratios for 45 ° . Let 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 ...
Página 25
... complement of 45 ° . It must also be observed that we get the ratios of 45 ° as numbers , and therefore the values of these ratios are altogether independent of the value of a . This is in accordance with Art . 14 . 18. Ratios for 60 ...
... complement of 45 ° . It must also be observed that we get the ratios of 45 ° as numbers , and therefore the values of these ratios are altogether independent of the value of a . This is in accordance with Art . 14 . 18. Ratios for 60 ...
Página 30
... complement of C , and the angle C is of the complement of A ; find how the angle A and the complement of B are related . 4. Verify the following formulæ : ( 1 ) sin60 ° cos30 ° - cos60 ° sin30 ° = sin30 ° . π π π ( 2 ) sin cos - cos sin ...
... complement of C , and the angle C is of the complement of A ; find how the angle A and the complement of B are related . 4. Verify the following formulæ : ( 1 ) sin60 ° cos30 ° - cos60 ° sin30 ° = sin30 ° . π π π ( 2 ) sin cos - cos sin ...
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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.