Numerical trigonometry

Percival Abbott

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1918 Excerpt: ...BC when AB = 13", ABC = 27 15'; (2) Find ABC when BC = 3-8", AB = 5-2"; (3) Find AB when BC = 7-8", ABC = 68. 26. In the triangle ABC Fig. 46, (1) Find A when b = 5-8", c = 8-2"; (2) Find A when a = 11-8 cms., c = 15-6 cms.; (3) Find a when c = 28 cms., B = 37 4', 27. In the triangle of Fig. 46, (1) Find a and b when c = 7-8", B = 37 44'; (2) Find a and b when A = 49 16', c = 19'8 cms. 28. In Fig. 69 the angle C is a C right angle, and CD is perpendi cular to AB. If A = 37-4 and AC = 15 cms., find AD, CD, DB. D. Geometrical Examples. D 29. In an isosceles triangle the Fig. 6g. sides are 5-2", 5-2", and 3-7". Find the angles of the triangle. 30. In a circle of 98 cms. radius there is a sector whose angle is 81 15'. Find the length of its chord. 31. In a circle of 73" radius the length of a certain arc is 127". Find the corresponding chord. 32. The legs of a pair of dividers are 3". long. If they are opened out so that the angle between them is 38, what is the distance between the points. 33. A chord 54" long is placed in a circle of radius 3'5". What is the angle which it subtends at the centre. 34. In a circle of radius 8 cms. a chord subtends an angle of 78 16' degrees at the centre. How long is the chord, and what is its distance from the centre? 35. At a point A on the circumference of a circle of radius 2-5" chords AB and AC are drawn so that the Bac = 63. Find the length of BC. 36. The sides of a rhombus are 3-35" long and the length of the shorter diagonal is 1-28". Find the angles of the rhombus and the length of the other diagonal. 37. Tangents are drawn to a circle of 22" radius from a point which is 37" from the centre. Find the angle between the ta...

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