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Text File  |  1993-03-30  |  4KB  |  41 lines
  1.          RIGHT TRIANGLES                                                     $
  2. area       = ½ab        = ½ sinφ                          B                  $
  3. perimeter  = a+b+c                                                           $
  4. hypotenuse = c = √(a² + b²)                 c                                $
  5. sin A = a/c     cot A = b/a                               a                  $
  6. cos A = b/c     sec A = c/b                                                  $
  7. tan A = a/b     csc A = c/a                                                  $
  8.                               A      φ     b                                 $
  9.                                                           C                $~6  A°       sin A      cos A      tan A                                       $
  10.   0°       0          1          0                                           $
  11.  15°       ¼(√6-√2)   ¼(√6+√2)   2-√3                                        $
  12.  30°       .5         ½√3        .3333√3                                     $
  13.  45°       ½√2        ½√2        1                                           $
  14.  60°       ½√3        .5         √3                                          $
  15.  75°       ¼(√6+√2)   ¼(√6-√2)   2+√3                                        $
  16.  90°       1          0          ± ∞                                         $
  17. 180°       0          -1         0                                           $  A°       cot A      sec A      csc A                                       $
  18.   0°       ∞          1          ∞                                           $
  19.  15°       2+√3       √6-√2      √6+√2                                       $
  20.  30°       √3         .666√3     2                                           $
  21.  45°       1          √2         √2                                          $
  22.  60°       .333√3     2          .666√3                                      $
  23.  75°       2-√3      √6+√2       √6-√2                                       $
  24.  90°       0          ± ∞        1                                           $
  25. 180°       ± ∞        -1         ± ∞                                         $             TRIGONOMETRIC RELATIONSHIPS                                     $
  26.   tan A  = sin A/cos A                                                       $
  27.   cot A  = 1/tan A      = cos A/sin A                                        $
  28.   sec A  = 1/cos A                                                           $
  29.   csc A  = 1/sin A                                                           $
  30.                           sin A² + cos A² = 1                                $
  31.                           sec A² - tan A² = 1                                $
  32.                           csc A² - cot A² = 1                                $
  33.   2π radians = 360°       1 radian = 180°/π = 57.29577951308232...°          $             TRIGONOMETRIC LAWS                                              $
  34.                                                                              $
  35.   SINES:            a/sin A = b/sin B = c/sin C                              $
  36.   COSINES:          c² = a² + b² - 2ab cos C                                 $
  37.   TANGENTS:         a + b/a - b = tan ½(A + B)/tan ½(A-B)                    $
  38.                                                                              $
  39.               sin A = 2/bc*√s(s-a)(s-b)(s-c)                                 $
  40.                                                                              $
  41.                                                                              $