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C HAPTER 14 D AY 9 Graphing Tan, Cot, Sec, Csc. G RAPHING T ANGENT tanx.

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Presentation on theme: "C HAPTER 14 D AY 9 Graphing Tan, Cot, Sec, Csc. G RAPHING T ANGENT tanx."— Presentation transcript:

1 C HAPTER 14 D AY 9 Graphing Tan, Cot, Sec, Csc

2 G RAPHING T ANGENT tanx

3

4 What is the amplitude of the tangent function? What is the period of the tangent function? What is the domain of the tangent function? What is the range of the tangent function?

5 G RAPHING T ANGENT cotx

6

7 What is the amplitude of the cotangent function? What is the period of the cotangent function? What is the domain of the cotangent function? What is the range of the cotangent function?

8 T RANSFORMATIONS OF T AN AND C OT G RAPHS Follow the same rules as for sin and cos when shifting up or down. Since the period of the tan and cot function is to find the period when changed: The amplitude of tangent: π

9 G RAPH TWO PERIODS OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 1.

10 G RAPH TWO PERIODS OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 2.

11 G RAPH TWO PERIODS OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 3.

12 G RAPH TWO PERIODS OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 4.

13 G RAPHING S ECANT AND C OSECANT 1. Graph the corresponding sine or cosine function with the given transformation. 2. Draw in vertical asymptotes where the sine or cosine function crosses the midline. 3. Draw in the secant or cosecant function. 4. The period of the secant and cosecant functions is. 5. The amplitude of the secant and cosecant function is.

14 G RAPH ONE PERIOD OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 5.

15 G RAPH ONE PERIOD OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 6.

16 G RAPH ONE PERIOD OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 7.

17 G RAPH ONE PERIOD OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 8.

18 G RAPH ONE PERIOD OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 9.

19 G RAPH ONE PERIOD OF THE FUNCTION. S TATE THE AMPLITUDE, PERIOD, MAXIMUM, AND MINIMUM. 10.


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