Topics within Trigonometry
Draw a unit circle. Be sure to label the radius and axes.
Draw two right triangles. Make them look like similar triangles. Label the sides with all possible sine and cosine values.
Now, divide the length NQ by MN. Perform the same operation on the corresponding sides of triangle XYZ. Set each of these values as tan Ө. Does the value of tan Ө change with the size of the triangle?
How does your definition of tan Ө apply to the unit circle? Draw a new, better unit circle with this new value labeled.
Challenge: Instead of angle Ө, draw a 30, 60, or 45 degree angle and compute all lengths and remaining angles in the resulting right triangle.
Practice problems: Compute the following values using a unit circle.