Elements of Geometry and Trigonometry |
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Page 57
... cosec = 1 совес = လ cosec 0 cot == လ sec = 1 cosec 113 -- လ RELATIONS BETWEEN THE CIRCULAR FUNCTIONS 61. Let AM represent any arc de- Draw the lines as repre- noted by a . OF ANY ARO . T B T sented in the figure . Then we shall have ...
... cosec = 1 совес = လ cosec 0 cot == လ sec = 1 cosec 113 -- လ RELATIONS BETWEEN THE CIRCULAR FUNCTIONS 61. Let AM represent any arc de- Draw the lines as repre- noted by a . OF ANY ARO . T B T sented in the figure . Then we shall have ...
Page 59
... cosec a Cos a sin a cos a ( 7. ) cot a = ( 13. ) sec'a = 1 + tan'a . sin a ( 8. ) tan a cot a = 1 . ( 14 . cosec❜a = 1+ cot'a . FUNCTIONS OF NEGATIVE AROS . 62. Let AM " " TRIGONOMETRY . 59.
... cosec a Cos a sin a cos a ( 7. ) cot a = ( 13. ) sec'a = 1 + tan'a . sin a ( 8. ) tan a cot a = 1 . ( 14 . cosec❜a = 1+ cot'a . FUNCTIONS OF NEGATIVE AROS . 62. Let AM " " TRIGONOMETRY . 59.
Page 60
... cosec a . FUNCTIONS OF ARCS FORMED BY ADDING AN ARC TO , OR SUB- TRACTING IT FROM ANY NUMBER OF QUADRANTS . 63. Let ... cosec a ; cosec ( 90 ° — a ) - = sec a . Now , suppose that BM ' = a , then will AM ' = 90 ° + a We see from the ...
... cosec a . FUNCTIONS OF ARCS FORMED BY ADDING AN ARC TO , OR SUB- TRACTING IT FROM ANY NUMBER OF QUADRANTS . 63. Let ... cosec a ; cosec ( 90 ° — a ) - = sec a . Now , suppose that BM ' = a , then will AM ' = 90 ° + a We see from the ...
Page 61
... cosec a without reference to their signs . By a simple inspection of the figure , observing the rule for signs , we deduce the following relations : sin ( 90 ° + a ) = cos a , cos ( 90 ° + a ) - = — sin a , tan ( 90 ° + a ) = - cotan a ...
... cosec a without reference to their signs . By a simple inspection of the figure , observing the rule for signs , we deduce the following relations : sin ( 90 ° + a ) = cos a , cos ( 90 ° + a ) - = — sin a , tan ( 90 ° + a ) = - cotan a ...
Page 62
... cosec a , cosec = вес а . Bec = - cosec a , cosec = 8cc a . Arc 180 ° - a . Arc 270 ° + a . ain = sin a , COS = cos a , sin = cos a , COS = sin a , tan = tan a , cot = - cot a , tan = cot a , cot = tan a , seo = 1 вес а , cosec = cosec a .
... cosec a , cosec = вес а . Bec = - cosec a , cosec = 8cc a . Arc 180 ° - a . Arc 270 ° + a . ain = sin a , COS = cos a , sin = cos a , COS = sin a , tan = tan a , cot = - cot a , tan = cot a , cot = tan a , seo = 1 вес а , cosec = cosec a .
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Common terms and phrases
ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence