1. Move the angle ( [math]\theta[/math]) using the angle slider from the smallest to the largest possible values and calculate[br][br] [math]sin\theta=\frac{opposite}{Hypotenuse}[/math] [br][br]Record all the values in a table.[br][br]Describe the patterns for the values of[math]sin\theta[/math][br][br]2. Move the angle ( [math]\theta[/math]) using the angle slider from the smallest to the largest possible values and calculate[br][br] [math]cos\theta=\frac{Adjacent}{Hypotenuse}[/math] [br][br]Record all the values in a table.[br][br]Describe the patterns for the values of[math]cos\theta[/math][br][br]3. Move the angle ( [math]\theta[/math][math][/math]) using the angle slider from the smallest to the largest possible values and calculate[br][br] [math]tan\theta=\frac{opposite}{Adjacent}[/math] [br][br]Record all the values in a table.[br][br]Describe the patterns for the values of[math]tan\theta[/math][br][br]4. Write down the pattern or rule found in the values of[br][br] ____ [math]sin\theta[/math]____, [br][br]____ [math]cos\theta[/math]____ [br][br]and[br][br]____[math]tan\theta[/math]____.[br][br]5. Verify and justify the patterns or rules discovered by you.[br][br]Extension: [br]1. Do these values work in general?[br]2. Could there be another approach?