Mathematics > Trigonometry

Unit Circle

  • No of Units2
  • Hours of Instruction4
  • LanguageEnglish

Course Description

Consider a ride on the Singapore Flyer, the world’s tallest Ferris wheel. Located in Singapore, the Ferris wheel soars to a height of 541 feet—a little more than a tenth of a mile! Described as an observation wheel, riders enjoy spectacular views as they travel from the ground to the peak and down again in a repeating pattern. In this Topic, we will examine this type of revolving motion around a circle. To do so, we need to define the type of circle first, and then place that circle on a coordinate system. Then we can discuss circular motion in terms of the coordinate pairs.

Unit-1 : Unit Circle And Sine & Cosine Functions

  • Find function values for the sine and cosine of 30° or (π/6), 45° or (π/4), and 60° or (π/3).
  • Identify the domain and range of sine and cosine functions.
  • Find reference angles.
  • Use reference angles to evaluate trigonometric functions
  • Practice Problems

Unit-2 : Secant, Cosecant, Tangent And Cotangent Functions

  • Find exact values of the trigonometric functions secant, cosecant, tangent, and cotangent of π/3, π/4, and π/6.
  • Use reference angles to evaluate the trigonometric functions secant, cosecant, tangent, and cotangent.
  • Use properties of even and odd trigonometric functions.
  • Recognize and use fundamental identities.
  • Evaluate trigonometric functions with a calculator.
  • Practice Problems