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The Essentials of Plane and Spherical Trigonometry
Ingen forhåndsvisning tilgjengelig - 2016
abscissa according acute angle adjacent angle angle corresponding application base called characteristic circle circular measure co.c colog column cosecant cosine cotangent decimal definition denote determined difference distance Dividing draw elements equal EXAMPLES expressed feet figures find the logarithm find the values formulæ fourth functions Geometry Given greater Hence included increases length less log cos log csc log sin logarithm manner mantissa middle miles minutes multiply negative Note observation obtain opposite perpendicular plane positive positive angle produced proof prove Putting quadrant radius ratio regard remaining respectively result right angle right triangle rule secant side sin B sin sin x sinc sine solution spherical triangle subtract taken tangent terminal line third trigonometric unit Whence بة بن
Side 1 - To express fractional parts of the unit, the degree is divided into sixty equal parts called minutes, and the minute into sixty equal parts, called seconds. Degrees, minutes, and seconds are represented by the symbols, °. ', ", respectively. Thus, 43° 22' 37" represents an angle of 43 degrees, 22 minutes, and 37 seconds.
Side 104 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Side 1 - ... is the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle.
Side 77 - 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.
Side 94 - ACB are measured, and found to be 126° 35' and 31° 48', respectively. Required the distance AB. 1. A flagpole 40 feet in height stands on the top of a tower. From a position near the base of the tower, the angles of elevation of the top and bottom of the pole are 38° 53
Side 76 - 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.
Side 96 - 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.
Side 57 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.