Unit Circle - Identifying Coordinates for Important Angles

Move the highlighted point to find the coordinates of points on the unit circle. You can then use these coordinates to write the values of trigonometric functions for a given angle. [math] sin \;\theta =y [/math] [math] cos \;\theta =x [/math] [math] tan \;\theta =\frac{y}{x} [/math] [math] sec \;\theta =\frac{1}{cos\;\theta} [/math] [math] csc \;\theta =\frac{1}{sin\;\theta} [/math] [math] cot \;\theta =\frac{x}{y} [/math]

Can you evaluate all six trigonometric functions at each angle, and express the answer in simplest radical form? See if you can find a pattern for the coordinates. Use this to evaluate the trigonometric functions without using the sketch.