Circular Trigonometry

Virginia SOL T.CT.1

Determine angle measures, sketch angles, and find trigonometric values using circular trigonometry.

What students need to be able to do

  • Define a radian as a unit of angle measure and relate radian measure to arc length in a circle.
  • Convert between degree and radian measures for angles, including negative and positive rotations.
  • Find positive and negative coterminal angles for a given angle.
  • Identify the quadrant or axis on which the terminal side of an angle lies.
  • Draw a reference right triangle given a point on the terminal side of an angle in standard position.
  • Draw a reference right triangle given a trigonometric function value of an angle.
  • Determine the value of any trigonometric function (sine, cosine, tangent, cosecant, secant, cotangent) given a point on the terminal side of an angle in standard position.
  • Given one trigonometric function value, determine the other five trigonometric function values.
  • Calculate the length of an arc of a circle in radians.
  • Calculate the area of a sector of a circle.