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. 1914 Excerpt: ... memorized. The proof in 95 and 96 refers only to acute angles, but the formulas are entirely general if due regard is paid to the algebraic signs. The general proof may follow the method of 92, or it may be based upon it; the latter plan is followed in 97. 97. The Proofs continued. Since x = (x--y)-f-y, we see that ...
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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. 1914 Excerpt: ... memorized. The proof in 95 and 96 refers only to acute angles, but the formulas are entirely general if due regard is paid to the algebraic signs. The general proof may follow the method of 92, or it may be based upon it; the latter plan is followed in 97. 97. The Proofs continued. Since x = (x--y)-f-y, we see that sin x = sin (x--y)+ y) = sin (x--y) cos y + cos (x--y) sin y, cos x = cos (x--y)+ y = cos (x--y) cos y--sin (x--y) sin y. Multiplying the first equation by cos y, and the second by sin y, sin x cos y = sin (x--y) cos2?/ + cos (x--y) sin y cos y, cos x sin y =--sin (x--y) sin2y + cos (x--y) sin y cos y. Hence sin x cos y--cos x sin y = sin (x--y) (sin2y + cos2y). But by 14 sin2// + cos2y = 1. Therefore sin (x--y) = sin x cos y--cos x sin y. Similarly, cos (x--y) = cos x cos y + sin x sin y. Therefore the formulas of 95 and 96 are universally true. 98. Formula for tan (x--y). Since tan A = we have v' cos A tan (x-y)= ) v 'cos (x--y)--sin x cos y--cos x sin y cos x cos y + sin x sin y Dividing numerator and denominator by cos x cos y, as in 93, we obtain sjn x sjn y cos a-cos y tan(x--y) = sin y sin y cos x cos y 17. cos (x-90). 18. cos (x-180). 19. cos (x-270). 20. tan(x-90o). 21. tan (x-180). 22. cot (x-90). 23. cot (x-180). 31. If tan x = 0.5 and tan y = 0.25, find tan (x + y) and tan (x--y). 32. If tan x = 1 and tan y = v3, find tan (x + y) and tan(x--y). 33. If tan x = % and tan y =-jij-, find tan (x + y) and tan (x--y), and find the number of degrees in x + y. 34. If tan x = 2 and tan y =, what is the nature of the angle x + y? Consider the same question when tan x = 3 and tan y =, and when tan x = a and tan y = 1/a. 35. Prove that the sum of tan (x--45) and cot (x + 45) is zero. 36. Prove ...
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Add this copy of Plane Trigonometry and Tables to cart. $4.95, good condition, Sold by Becker's Books rated 4.0 out of 5 stars, ships from Houston, TX, UNITED STATES, published 1938 by Ginn & Co..
Add this copy of Plane trigonometry and tables to cart. $9.99, fair condition, Sold by STP Books rated 5.0 out of 5 stars, ships from Saint Petersburg, FL, UNITED STATES, published 1943 by Ginn.
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Seller's Description:
Fair. No dust jacket. v, 190, 22, 108 p. : ill.; 23 cm. Includes Illustrations. With answers. Tables have special t. -p. : Trigonometric and logarithmic tables, by George Wentworth and David Eugene Smith. Boston, Ginn [c1943]
Add this copy of Plane Trigonometry and Tables to cart. $11.00, good condition, Sold by Escape Routes Used Books rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1903 by Ginn.
Add this copy of Plane Trigonometry and Tables to cart. $18.00, very good condition, Sold by Between the Covers-Rare Books rated 5.0 out of 5 stars, ships from Gloucester City, NJ, UNITED STATES, published 1938 by Ginn.
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Very Good. Very good minus. Pouch inside front cover. Stamp on inside cover. Pen and pencil writing on front and back endpapers and inside back cover. Pages brown. Corners rubbed and bent. Edges of spine rubbed. Spine brown. Please Note: This book has been transferred to Between the Covers from another database and might not be described to our usual standards. Please inquire for more detailed condition information.
Add this copy of Plane Trigonometry and Tables (Wentworth-Smith to cart. $19.03, good condition, Sold by BookDepart rated 4.0 out of 5 stars, ships from Shepherdstown, WV, UNITED STATES, published 1914 by Ginn and Company.
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Seller's Description:
UsedGood. ASIN: B0017YMVB4 Hardcover; fading and edge wear to exterior; fading to pa ges; notes written inside boards; margin notes and underlining; tabs attach ed to a few page edges; otherwise in good condition with firm binding.
Add this copy of Plane Trigonometry and Tables to cart. $19.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of Plane Trigonometry and Tables to cart. $29.16, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
