Concept Check: Right Triangle Trig

Slide ANY SLIDER to conceptually see the meaning of a particular trigonometric ratio within this right triangle context.[br][br]You can move the 2 LARGER WHITE VERTICES of the triangle anywhere you'd like. [br]You can also change the size of the black acute angle via slider or input box.
What is the measure of the angle [math]\alpha[/math] so that the opposite leg is half the hypotenuse?
What is the measure of the angle [math]\alpha[/math] so that the adjacent leg is half the hypotenuse?
What is the measure of the angle [math]\alpha[/math] so that tan[math]\alpha[/math]=1? Why is thi so?
Cerrar

Información: Concept Check: Right Triangle Trig