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.