Lesson Plan: Evaluating Trigonometric Ratios given the Value of Another Ratio Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the value of a trigonometric function from a given value of another trigonometric function.

Objectives

Students will be able to

  • determine the values of sine, cosine, and tangent in the different quadrants of the unit circle and do likewise with the reciprocal trigonometric functions,
  • determine the values of different trigonometric functions, in a specified range, from a given value of another trigonometric function using the different quadrants of the unit circle, including sine, cosine, tangent, secant, cosecant, and cotangent.

Prerequisites

Students should already be familiar with

  • trigonometric ratios and the unit circle,
  • the signs of trigonometric functions in different quadrants of the unit circle.

Exclusions

Students will not cover

  • finding trigonometric equivalences using the Pythagorean identities,
  • using other identities to determine trigonometric equivalences.

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