Trigonometry ...1866 |
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Side 18
... value zero , and that the tangent , cotangent , secant , and cose- cant change their signs whenever they pass through the value infinity , and that they do not change their signs in passing through any other values . 21. To show that ...
... value zero , and that the tangent , cotangent , secant , and cose- cant change their signs whenever they pass through the value infinity , and that they do not change their signs in passing through any other values . 21. To show that ...
Side 20
... value zero , and that the tangent , cotangent , secant , and cose- cant change their signs whenever they pass through the value infinity , and that they do not change their signs in passing through any other values . 21. To show that ...
... value zero , and that the tangent , cotangent , secant , and cose- cant change their signs whenever they pass through the value infinity , and that they do not change their signs in passing through any other values . 21. To show that ...
Side 27
... values of A , B , A + B and A - B , less than 90 ° . In the next Article , however , they will be shewn to hold universally for all angles . We will now prove them when A and B are each less than 90 ° , but A + B greater than 90 ° . Let ...
... values of A , B , A + B and A - B , less than 90 ° . In the next Article , however , they will be shewn to hold universally for all angles . We will now prove them when A and B are each less than 90 ° , but A + B greater than 90 ° . Let ...
Side 28
... values of A and B. sin ( A + B ) = sinA cosB + cosA sinB ...... ( 1 ) , cos ( A + B ) = cosA cosB― sinA sinB ... values of A and B less than 90 ° , A being greater than B in ( 3 ) and ( 4 ) . The restriction of A being greater than B may ...
... values of A and B. sin ( A + B ) = sinA cosB + cosA sinB ...... ( 1 ) , cos ( A + B ) = cosA cosB― sinA sinB ... values of A and B less than 90 ° , A being greater than B in ( 3 ) and ( 4 ) . The restriction of A being greater than B may ...
Side 29
... values of A and B however large . Thus the four formulae hold for any positive values of A and B. They also hold for any negative values of A and B ; for if B be negative in ( 1 ) , it is reduced to ( 3 ) with A and B positive , which ...
... values of A and B however large . Thus the four formulae hold for any positive values of A and B. They also hold for any negative values of A and B ; for if B be negative in ( 1 ) , it is reduced to ( 3 ) with A and B positive , which ...
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angle POX increases angles terminated Cambridge centre circular measure coincides Conic Sections cos(a cos² cos4 cosB cosB+ cosec cosine cotA cotangent D.D. Dean D.D. Third Edition Dean of Ely decreases numerically Euclid EXAMPLES ON CHAPTER F. A. PALEY Fcap Fellow of St Fellow of Trinity Geometrical given angle given ratio Greek Hence J. R. SEELEY J. W. DONALDSON JONATHAN PALMER Late Fellow less than 90 log(s loga logarithms M.A. Fellow Mathematics negative and decreases P'OM Pembroke College perpendicular positive angle prove r₁ radius recensuit right-angled triangles POM secA secant Second Edition sides sin²A sin³A sinA sinB sine sine and cosine solution solve the triangle St John's College Students subtended subtract tanA tangent triangle ABC TRIGONO Trigonometrical Ratios Trinity College University of Cambridge values W. H. BESANT ОР
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