Abby B.

ICM

6-1 Graphs of the Trigonometric Functions

-There are 6 main trigonometric functions:

                 the sine, cosine, cosecant, secant, tangent, and cotangent graphs.

-The differences between the graphs are where they intersect the x and y axis. Also, each graph has its own unique shape.                                 

Practice Problems:

1. Use the graph of the tangent function and find the values of  Ø, when tanØ = 1.

If the interval is -180º < Ø < 180º, Ø can be -180º, 0º, or 180º. This is because the

 tangent graph has a period of 180º. Therefore the values of  Ø can be 0º + 180kº, or 

180kº, where k is any integer.    

2. Graph the cosine curve in the interval -720° < Ø < 360°.

        1. Find the value of cosine Ø for Ø =  -720°, -630°, -540°, -450°, -360°, -270°,  

                         -180°, -90°, 0°, 90°, 180°, 270°, ; and 360°.

        2. Plot the points from the ordered pairs.

            (-720°, 1), (-630°, 0), ( -540°, -1), (-450°, 0), ( -360°, 1), (-270°,0),  

                         (-180°, -1), (-90°, 0), (0°, 1), (90°, 0), (180°, -1), (270°, 0)  and (360°, 1).

GOOD JOB!!!!

"Nurture your mind with great thoughts, for you will never go any higher than you think."

-Benjamim Disraeli

Using courage and having self-discipline can help you to achieve your goals!!!!

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