Plane and Spherical TrigonometryAllyn and Bacon, 1900 - 139 pàgines |
Altres edicions - Mostra-ho tot
Plane and Spherical Trigonometry Elmer Adelbert Lyman,Edwin Charles Goddard Visualització completa - 1900 |
Plane and Spherical Trigonometry Elmer Adelbert Lyman,Edwin Charles Goddard Visualització completa - 1900 |
Plane and Spherical Trigonometry Elmer Adelbert Lyman,Edwin Charles Goddard Visualització completa - 1900 |
Frases i termes més freqüents
acute angle algebra altitude ambiguous angle opposite base c.d. Log c.d. Log.Tan Nat Check circle circumcircle colog common logarithms completely the triangle complex numbers computed Cos Log cos² cos³ cosecant cosh cosẞ Cot Log Cot Nat cotangent eleva elevation angles equation express figure Find the distance Find the height formulæ functions of angles geometry Hence incentre law of sines less than 90 loga mantissa measure miles natural functions obtuse perpendicular Prove cos² Prove cot Prove tan-1 quadrant radians radius right angle right triangle sec² secant Show sin a cos sin a sin sin(A sin² sin³ sine and cosine single angles sinh solution Solve completely spherical triangle subtends tables of natural tan-¹ tan² tangent terminal line tion tower triangle ABC triangle of reference trigonometric functions values whence ΙΟ ΙΟΙ ОР
Passatges populars
Pàgina 56 - First it will be shown that, sin (a ± ß) = sin a cos ß ± cos a sin ß, cos (a ± ß) = cos a cos ß T sin a sin ß t /. . -\ tan a ± tan ß tan (a ± ß) = cl rimialunß The following cases must be considered : 1.
Pàgina 104 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Pàgina 54 - ... 25 ft. long, leans against a house and reaches to a point 21.6 ft. from the ground. Find the angle between the ladder and the house, and the distance the foot of the ladder is from the house. Why are we able to solve an example like this by trigonometry when we are not able to do so by geometry ? 9. The Washington Monument is 555 ft. high. How far apart are two observers 555 who from points due west of the monument observe its angles of elevation to be 25° and 48° 17
Pàgina 3 - X-axis toward the right. The sign and magnitude of the angle will determine the position of the terminal line, causing it to coincide with one of the axes or to fall in one of the quadrants. An angle is said to be of the first, second, third, or fourth quadrant according as its terminal line falls in that quadrant. While the acute angle is of the first quadrant, the converse is by no means necessarily true. The terminal line of every angle, however large, must coincide with the terminal line of some...
Pàgina 4 - O or small, be divided into 360 equal arcs, each arc is called a degree. The degree is divided into 60 minutes, and the minute into 60 seconds. The length of a degree, minute, or second, depends on the size of the circle.
Pàgina 62 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Pàgina 6 - What is the measure of a ton when a weight of 10 stone is the unit ? (4) The length of an Atlantic cable is 2300 miles and the length of the cable from England to France is 21 miles. Express the length of the first in terms of the second as unit.
Pàgina 44 - A logarithm is the exponent of the power to which a fixed number, called the base, must be raised to produce a given number.
Pàgina 44 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 117 - Having given two sides and the included angle, or two angles and the included side.