Topics

• Trigonometry

• Unit circle

• Sines

• Cosines

• Tangents

Sample Learning Goals

• Define trig functions for negative angles and angles greater than 90 degrees.

• Translate between multiple representations of trig functions: as sides of a right triangle inscribed in a unit circle, graph of the function vs. angle, and numerical values of the function.

• Deduce the sign (+, -, 0) of a trig function for any given angle without a calculator using the unit circle concept.

• Estimate the value of trig functions for any given angle without a calculator using the unit circle concept.

• Define exact trig functions for special angles using degrees or radians for angle measures.

Standards Alignment

Common Core - Math

• HSF-TF.A.4

• (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

• HSF-TF.A.3

• (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π - x in terms of their values for x, where x is any real number.

• HSF-TF.A.2

System Requirements

HTML5 simulations can run on iPads, Chromebooks, PC, Mac, and Linux systems.
See full HTML5 system requirements