Trigonometric functions and side ratios in right triangles

The  exercise appears under the Geometry Math Mission. This exercise practices some of the basic definitions and applications of trigonometric ratios.

Types of Problems
There are three types of problems in this exercise:


 * 1) Analyze student reasoning: This problem has a worked out trigonometric problem or proof. The student is asked to read the solution and determine if there is an error in reasoning or if the argument is cogent.Tfasrirt1.png
 * 2) Select the right category: This problem provides a chart with several trigonometric expressions and ratios. The student is asked to select which ratios or values represent which expressions.Tfasrirt2.png
 * 3) Determine which statements are true: This problem provides a triangle with some labels and several statements about the diagram. The student is asked to select which, if any, of the statements must be true.Tfasrirt3.png

Strategies
Knowledge of the basic trigonometric ratios are the only required information to ensure success on this exercise.
 * 1) The basic three trig functions are common, and the reciprocal trigonometric functions are rare.
 * 2) In almost all cases, if the statement at the end of the reasoning in Analyze student reasoning is correct, the whole argument is correct.
 * 3) To help with accuracy, labeling examples in certain diagrams can be useful.

Real-life Applications

 * 1) Many of the problems in this exercise are direct applications of trigonometry to real-life.