cycle and the trigonometric functions sine and cosine
This object is intended to familiarize the user with the cycle and the trigonometric functions sine and cosine of an arc. USAGE: Move the selector to change the angle θ (in green). Cycle are presented in the trigonometric arc (green), the arc cosine (in red) and the sine of the arc (in blue). Alongside are shown the graphs of sine and cosine functions mobile and points representing the values of the sine and cosine of the arc as the angle θ is varied. You can choose which function observed by checking the boxes "Select function".
Activities: move the selector to observe the behavior of the graph of each function. Try to establish relationships between the angle θ and the sign of the sine and cosine of this angle. Under what conditions the angle θ functions have equal values?