Step 1: Look at the given equations

              NOTE:   \theta = 45\degree

                             \frac{1 - \cos 2 \theta}{ \sin 2 \theta }

Step 2: Remember the double angle formulas

            FORMULAS: \cos 2\theta = 1 - 2\sin^2 \theta

                                      We can write this as

                                     1- \cos 2\theta = 2\sin^2 \theta

                                                  and

                                   \sin 2\theta = 2 \sin \theta \cos \theta

Step 3: Substitute the formulas in the given equation

                  EXAMPLE: = \frac{1 - \cos 2 \theta}{ \sin 2 \theta}

                                  =   \frac{2 \sin^2 \theta}{ 2 \sin \theta \cos \theta}

                                  =   \frac{\sin \theta}{ \cos \theta}

                                  =   \tan \theta

                                    Substitute the   \theta = 45\degree

                                  =   \tan 45\degree

                                          = 1