Trigonometry ...1866 |
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Σελίδα 2
... sides of regular polygons of n sides inscribed in any two circles which have the same centre 0 . Let C , r , A be the circumference , radius and area of the outer circle ; and C ' , r ' the 2 [ 3 . PLANE TRIGONOMETRY .
... sides of regular polygons of n sides inscribed in any two circles which have the same centre 0 . Let C , r , A be the circumference , radius and area of the outer circle ; and C ' , r ' the 2 [ 3 . PLANE TRIGONOMETRY .
Σελίδα 3
... side indefinitely diminished , these peri- meters ultimately coincide with the circumferences of the circles ; in this case therefore n . AB n . A'B ' = becomes The constant ratio have C ' r C C ' r = is usually denoted by 27 ; hence we ...
... side indefinitely diminished , these peri- meters ultimately coincide with the circumferences of the circles ; in this case therefore n . AB n . A'B ' = becomes The constant ratio have C ' r C C ' r = is usually denoted by 27 ; hence we ...
Σελίδα 30
... side . Hence - sinA + sinB = 2sin ( A + B ) cos ( A – B ) , sinA - sinB = 2 cos ( A + B ) sin ( A – B ) , cosB + cosA = 2 cos ( A + B ) cos ( 4 – B ) , cosB - cosA = 2 sin † ( A + B ) sin ( A – B ) . 34. sin ( A + B ) sin ( A – B ) ...
... side . Hence - sinA + sinB = 2sin ( A + B ) cos ( A – B ) , sinA - sinB = 2 cos ( A + B ) sin ( A – B ) , cosB + cosA = 2 cos ( A + B ) cos ( 4 – B ) , cosB - cosA = 2 sin † ( A + B ) sin ( A – B ) . 34. sin ( A + B ) sin ( A – B ) ...
Σελίδα 37
... side . 42. Reduce sin0 + cos 0 to a single term . sin + cos 0 = cos ( π 2 - 0+ cos 0 = 2 cos · છ ) = π = √2 . cos COS -- π ( −0 ) ( Art.33 ) π ( 1 – 0 ) . 4 43. By Art . ( 33 ) we have sin 33. ] 37 PLANE TRIGONOMETRY .
... side . 42. Reduce sin0 + cos 0 to a single term . sin + cos 0 = cos ( π 2 - 0+ cos 0 = 2 cos · છ ) = π = √2 . cos COS -- π ( −0 ) ( Art.33 ) π ( 1 – 0 ) . 4 43. By Art . ( 33 ) we have sin 33. ] 37 PLANE TRIGONOMETRY .
Σελίδα 44
... sides respectively opposite to them . When any three of these six quantities , except the three angles , are given ... side is equal to the sine of the opposite angle , or cosine of the adjacent angle , multiplied into the hypotenuse ...
... sides respectively opposite to them . When any three of these six quantities , except the three angles , are given ... side is equal to the sine of the opposite angle , or cosine of the adjacent angle , multiplied into the hypotenuse ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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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