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        <div id="content-top2">P. 49</div>
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    <pre style="white-space:pre-line"><code>Trigonometric Ratios Ã¡Â«Ã£âˆÃ£Å¸G Ã–Â°Ã¹Ã¦dG

: Â»JCÃ‰j Ã‰ÂªY Ã–LCG ÂºK Ï€Î¼Â°Ã»dG Ï€eCÃ‰J Â¢U â€˜ Ã¡jhGÃµdG ÂºFÃ‰b Ã¥âˆÃ£e Â´ Â¢U Â¢S Ã¥âˆÃ£Å¸G Ï€HÃ‰â‰¤Å¸G Ï€Î¼Â°Ã»dG â€˜

                                               Â¢S Ã¡Ã‘Â°Ã¹Ã¦dÃ‰H Â¢U Â¢S â„¢âˆÂ°â€ dG â„¢bÆ’e Ã‰e (1
Â´

                                               Â¢S Ã¡Ã‘Â°Ã¹Ã¦dÃ‰H Â´ Â¢U â„¢âˆÂ°â€ dG â„¢bÆ’e Ã‰e (2

                  ÂºÂ°S 5                             . Â´ Â¢S â„¢âˆÂ°â€ dG â‰ˆÂªÂ°Ã¹j GPÃ‰e (3
ÂºÂ°S3                     ... Â´ Â¢S â„¢âˆÂ°â€ dG âˆ«Æ’W Â¤GE Â¢U Â¢S â„¢âˆÂ°â€ dG âˆ«Æ’W Ã¡Ã‘Â°Ã¹f Ã³LhCG (4

                             ? Ã¡Ã‘Â°Ã¹Ã¦dG âˆšÃ²g â‰ˆÂªÂ°Ã¹J GPÃ‰e

Â¢U ÂºÂ°S4 Â¢S ... Â´ Â¢S â„¢âˆÂ°â€ dG âˆ«Æ’W Â¤GE Â´ Â¢U â„¢âˆÂ°â€ dG âˆ«Æ’W Ã¡Ã‘Â°Ã¹f Ã³LhCG (5
                                                           ? Ã¡Ã‘Â°Ã¹Ã¦dG âˆšÃ²g â‰ˆÂªÂ°Ã¹J GPÃ‰e

            ? Ã¡Ã‘Â°Ã¹Ã¦dG âˆšÃ²g â‰ˆÂªÂ°Ã¹J GPÃ‰e ... Â¢U Â¢S â„¢âˆÂ°â€ dG âˆ«Æ’W Â¤GE Â´ Â¢U â„¢âˆÂ°â€ dG âˆ«Æ’W Ã¡Ã‘Â°Ã¹f Ã³LhCG (6

  `L                     : Â»gh IOÃ‰â—ŠG Ã¡jhGÃµâˆd Ã¡Â«Ã£âˆÃ£Å¸G Ã–Â°Ã¹Ã¦dG â„¢Â°SÃ‰Ã dG âˆžÂ°Ã¼dG â€˜ Ã¢Â°SQO Â¿CGh â‰¥Ã‘Â°S
                                                                        Ï€HÃ‰â‰¤Å¸G
Ï€HÃ‰â‰¤Å¸G Ã´JÆ’dG
                                                   Ã¡jhGÃµdG Ã–Â«L â‰ˆÂªÂ°Ã¹Jh Ã´JÆ’dG = Ã‰L
  Ãœ
                                                                       QhÃ‰Ã›G
          QhÃ‰Ã›G                                 Ã¡jhGÃµdG Î©Ã‰â€œ Ã–Â«L â‰ˆÂªÂ°Ã¹Jh Ã´JÆ’dG = Ã‰Ã L

                                                                        Ï€HÃ‰â‰¤Å¸G
                                                     Ã¡jhGÃµdG Ï€X â‰ˆÂªÂ°Ã¹Jh QhÃ‰Ã›G = Ã‰X

                                                                         1 âˆ«Ã‰Ã£e

Ã–Â«Lh Ã–Â«L Ã³LhCG QÃ‰Ã eG 3 Â§FÃ‰â—ŠG Ã¸Y ÂºâˆÂ°Ã¹dG Ï€Ã˜Â°SCG Ã³Â©Ã‘j Ã¥Â«Ã«H Â§FÃ‰M â‰ˆâˆY Ã…Î¼Ã j , QÃ‰Ã eG 6 Â¬dÆ’W ÂºâˆÂ°S
                                                 . Â§FÃ‰â—ŠG â„¢e ÂºâˆÂ°Ã¹dG Ã‰Â¡Â©Ã¦Â°Ã¼j Â»Ã dG Ã¡jhGÃµdG Î©Ã‰â€œ

                                                                          Ï€``â—ŠG

                             1                                =  3  =  Ï€HÃ‰â‰¤Å¸G  = Â¢S Ã‰L
                             2                                   6     Ã´JÆ’dG

Â¢S                                                                     QhÃ‰Ã›G
                                                                       Ã´JÆ’dG = Â¢S Ã‰Ã L
             Î©6
                             Â¢SQÆ’ZÃ‰Ã£Â«a Ã¡jÃ´Â¶f Î©Ã³Ã®Ã Â°Ã¹f QhÃ‰Ã›G OÃ‰Ã©jâ€™E

                         3 3 = QhÃ‰Ã›Gâˆ´ 2(3) - 2(6) = 2(QhÃ‰Ã›G)

Â´                                                             3  =     3  3    =  Â¢S  Ã‰Ã L
                                                              2        6
        Î©3       Â¢U

                         47</code></pre>
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