Aus Online Mathematik Brückenkurs 1

Diese Aktion ist beschränkt auf Benutzer, die einer der Gruppen „Administratoren, approved“ angehören.

Quelltext dieser Seite:

If we consider the entire expression <math>x + 40^{\circ}</math> as an unknown, we have a basic trigonometric equation and can, with the aid of the unit circle, see that there are two solutions to the equation for <math>0^{\circ}\le x+40^{\circ}\le 360^{\circ}</math> namely <math>x+40^{\circ} = 65^{\circ}</math> and the symmetric solution <math>x + 40^{\circ} = 180^{\circ} - 65^{\circ} = 115^{\circ}\,</math>. [[Image:4_4_3_c.gif|center]] It is then easy to set up the general solution by adding multiples of <math>360^{\circ}\,</math>, {{Displayed math||<math>x + 40^{\circ} = 65^{\circ} + n\cdot 360^{\circ}\qquad\text{and}\qquad x + 40^{\circ} = 115^{\circ} + n\cdot 360^{\circ}</math>}} for all integers ''n'', which gives {{Displayed math||<math>x = 25^{\circ} + n\cdot 360^{\circ}\qquad\text{and}\qquad x=75^{\circ} + n\cdot 360^{\circ}\,\textrm{.}</math>}}

• 4.4.3c - Solution - Two unit circles with angles 65° and 115°, respectively
• Vorlage:Abgesetzte Formel

Zurück zur Seite Hauptseite.