Trigonometry for Beginners |
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Common terms and phrases
angle of elevation angle opposite angle XOP Asin Atan c² sin² centre chains circle circular measure cos a cos cos² cosec cosine cot² decimal distance equal equation EXAMPLE Express find log find the angles find the height Find the logarithms Find the number find the sine formulæ fraction Geom geometrical given greatest angle Hence inverse trigonometric functions length less than 90 log sin log sin 74 mantissa miles negative number of degrees number whose logarithm observed perpendicular positive quadrant radians respectively right angles right triangle right-angled triangle sec² significant figures Similarly sin B sin sin² sin³ sine solution is unique solution of triangles Solve the triangle spherical triangle student subtended tan² tangent tower triangle ABC trigonometrical ratios XOP₁ XOP₂ yards ОР
Popular passages
Page 83 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant figure.
Page 26 - What is the height of the column ? (2) At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Page 6 - A radian is an angle at the center of a circle, subtended by an arc equal in length to the radius of the circle.
Page 83 - The characteristic of the logarithm of a number greater than unity is one less than the number of figures in the integral part of the number.
Page 128 - We will not say that this is the best Elementary Algebra for school use that we have come across, but we can say that we do not remember to have seen a better. ... It is the outcome of a long experience of school teaching, and so is a thoroughly practical book. All others that we have in our eye are the works of men who have had considerable experience with senior and junior students at the universities, but have...
Page 97 - The elevation of a steeple at a place due south of it is 45°, and at another place due west of it the elevation is 15°. If the distance between the two places be a, prove that the height of the steeple is a( \/3 — 1) -^2\/3.
Page 67 - Every line of this hits the mark, and to anyone who knows the forecastle and its types the picture appeals with the urgency of old familiar things. All through his four hundred and more pages he is equally unaffected and forcible, equally picturesque. To go through one chapter is to pass with lively anticipation to the next. His book is destined to be remembered.
Page 128 - It is the outcome of a long experience of school teaching, and so is a thoroughly practical book. All others that we have in our eye are the works of men who have had considerable experience with senior and junior students at the universities, but have had little if any acquaintance with the poor creatures who are just stumbling over the threshold of Algebra. . . . Buy or borrow the book for yourselves and judge, or write a better. ... A higher text-book is on its way. This occupies sufficient ground...
Page 27 - ... stands, the angles of elevation of the top and bottom of the flagstaff are observed to be 60° and 45° respectively : find the height of the house above the point of observation.