options: Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
problem_activity: Create a graph of a function that represents the height above the ground of the passenger car for a 225- foot diameter Ferris wheel that completes three turns, where each turn takes 2 minutes. Assume passengers board at the bottom of the wheel, which is 5 feet above the ground, and that the ride begins immediately afterward. Provide appropriate labels on the axes.
Explain how the features of your graph relate to the situation.


correct_option_index: 2