Trigonometric Function Values Using Angles in standard Position

Tutoring on Trigonometric Function Values Using Angles in standard Position

Learning Objectives:

Understand and Apply Trigonometric Functions using Angles in Standard Trigonometric Functions.

Math Tutoring on Trigonometric Function Values using Angles in Standard Position

We can find Trigonometric Function values using the Graphing Calculator. Calculators are able to determine trigonometric function value in degrees and radians. However, most calculators cannot return the values in radical form unless it has the computer algebra system. Most return decimal approximations unless the values are rational.

 Many years ago, trigonometric values were determined by tables, but this is very rare these days.

Though most graphing marketers are similar, TI-83/84 graphing calculator is most popular to determine trigonometric function values in degrees and radians.

We can find Sine, Cosine and Tangent value very easily but when trying to determine Cosecant, Secant and Cotangent we do need to be a little more careful.

We can determine the value of the six trigonometric functions using Reference Angles and Reference Triangles. We can also determine trigonometric functions in terms of the Angles of Rotation.

Two important properties of trigonometric functions in math tutoring are Domain and Range. We can think of the domain of a function as the inputs and the range as the functions output. For trigonometric functions, the inputs are angle measures and the outputs are ratios of the sides of right triangles.

We can use the Reciprocal Identities, Quotient Identities, and Pythagorean identities to determine six trigonometric function values.

 

 

 

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Hook Questions:

1.     How can we determine Trigonometric Functions using Graphing Calculator?

2.     What are the most popular Graphing Calculators?

3.     What are Reference Angles and Reference Triangles? Give examples.

4.     What is the definition of Domain and Range of a trigonometric function?

5.     What are Reciprocal, Quotient and Pythagorean identities? How are they used to determine trigonometric functions using these identities?

 

 

 

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