The study of trigonometry is introduced, beginning with right triangle trigonometry and advancing to trigonometry in the coordinate plane and, after the introduction of radian measure, the unit circle. The second half of the chapter discusses the graphs of trigonometric functions, their translations, and their inverses.

What you can expect to learn

After completing these activities you should be able to:

  1. Find the trigonometric ratios of an acute angle in a right triangle and use a calculator to find the trigonometric ratios of an acute angle, including angle measures in degree-minute-second notation.
  2. Find side lengths and angle measures in right triangles using trigonometric ratios.
  3. Find the reference angle for a given angle measure and find trigonometric ratios for a given angle using reference angles.
  4. Convert between degree and radian measures of an angle and find the length of an arc.
  5. Determine the amplitude and period of a sinusoidal function.
  6. Determine the domain and period of trigonometric functions.
  7. Determine the phase shift and vertical shift of trigonometric functions.
  8. Find values and principal values of inverse trigonometric functions.
Activity List