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The Essentials of Plane and Spherical Trigonometry
Previsualització no disponible - 2016
A'BC abscissa acute angle angle corresponding BD OB BD check formula circle circular measure colog cologarithm column common logarithm cos2 cosc cosecant cosine cosy denote distance EXAMPLES expressed f1nd find log find the angle find the logarithm find the values following triangles formulae of Art Geometry given elements Given log Given two sides Hence hypotenuse included angle initial line log cos log cot log esc log sec log sin log tan manner mantissa multiply negative angle Note Number corresponding obtain the formulae ordinate perpendicular to OA polar triangle positive angle radius ratio right angle right triangle ABC rule of Art secant sin B sin sin2 sine sines and cosines Solve the following spherical right triangle spherical triangle Spherical Trigonometry subtract tabular difference tana tangent terminal line trigonometric functions Whence by Art Whence by definition Whence we obtain
Pàgina 105 - If the function is a sine, since the sine of an angle is equal to the sine of its supplement...
Pàgina 75 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Pàgina 74 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Pàgina 94 - If two sides of a spherical triangle are unequal, the angles opposite them are unequal, and the greater angle lies opposite the greater side ; and conversely.
Pàgina 55 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Pàgina 54 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Pàgina 48 - In the formula sin (x + y) = sin x cos y + cos x sin y...
Pàgina 113 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...