## An elementary treatise on plane trigonometryMacmillan, 1858 - 106 pages |

### From inside the book

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... Trigonometry . The

... Trigonometry . The

**Trigonometrical Ratios**. Practical Application . Instruments for Surveying Examples . A. B. 29 • • · · PAGE I · 12 • 15 II .**Trigonometrical Ratios**of Angles greater than 90 ° . Relations amongst the Ratios . Change ... Page 6

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**Trigonometrical Ratios**. Having now shewn how lines and angles are to be measured in Trigonometry , and the interpretation which is to be given to the signs + and — when applied to quantities that represent them , we will proceed to ... Page 7

... arises , are these Trigono- metrical ratios definite quantities for any given value of the angle , or do they depend upon the magnitude of the revolving line OP ? P Let AOP be any angle , i . e

... arises , are these Trigono- metrical ratios definite quantities for any given value of the angle , or do they depend upon the magnitude of the revolving line OP ? P Let AOP be any angle , i . e

**TRIGONOMETRICAL RATIOS**. 7 བ. Page 8

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**Trigonometrical Ratios**0 of the angle AOP are the same N C MRA whether we consider OQ or OP the revolving line . So also if RS is perpendicular to OP , we have RS : OS : OR = PM : OM OP . Hence we conclude , that , disregarding signs ... Page 9

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**Trigonometrical Ratio**of the complement of an angle in terms of some**Trigonometrical Ratio**of the simple angle . 12. The**Trigonometrical Ratios**of 30 ° , 45 ° , 60 ° . The cal- culation of the values of the**Trigonometrical Ratios**of all ...### Other editions - View all

### Common terms and phrases

1+tan a+b+c a+B+y a+tan angle AOP AOP₁ arithmetical progression BERNARD DRAKE circular measure cloth complement Construct the angle cos² cosec cosine cot² cotangent Crown 8vo decimal distance equal equation Euclid EXAMPLES Fcap feet Fellow of St Fellow of Trinity Find the number foot formulæ given height horizontal plane hypothenuse inscribed circle John's College late Fellow loga logarithms M.A. Fellow magnitude miles negative angle number of degrees observes the angle opposite sides perpendicular polygon positive quadrant radii radius respectively revolving line right angle right-angled triangle sec² secant Second Edition Sermons sewed Shew sides and angles sin ß sin² sin² ß sin³ tan¹ tan² tan³ tangent tower Treatise Trigono Trigonometrical Ratios Trinity College unit of length University of Cambridge vers yards

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