What is the period of the sine function, $$y = \text{sin}(\theta)$$ ?

The period of the sine function is $$2\text{π}$$ .

How does the graph of $$y = \text{sin}(k\theta)$$ change with different values of k?

The value of k affects the period of the sine function. The period is given by $$\frac{2\text{π}}{k}$$ .

What is the phase shift of the function $$y = \text{cos}(\theta - \frac{\text{π}}{2})$$ ?

The phase shift is $$\frac{\text{π}}{2}$$ to the right.

Identify the function with the graph that has a vertical stretch of 2: $$y = 2\text{sin}(\theta)$$ or $$y = \text{sin}(\theta)$$ ?

The function with a vertical stretch of 2 is $$y = 2\text{sin}(\theta)$$ .

What is the period of the function $$y = \text{tan}(\theta)$$ ?

The period of the tangent function is $$\text{π}$$ .

How do you identify the function from its graph if it has vertical asymptotes?

Vertical asymptotes indicate that the function is either tangent or cotangent.

What is the general form of a sine function with a phase shift?

The general form is $$y = A\text{sin}(B(\theta - C)) + D$$ , where C is the phase shift.

What does the parameter D represent in the sine function $$y = A\text{sin}(B\theta) + D$$ ?

The parameter D represents the vertical shift of the graph.

Identify the function with a period of $$\frac{2\text{π}}{3}$$ .

The function is $$y = \text{sin}(3\theta)$$ .

What is the relationship between sine and cosine functions?

Sine and cosine functions are phase-shifted versions of each other: $$\text{sin}(\theta) = \text{cos}(\theta - \frac{\text{π}}{2})$$ .

How do you determine the x-intercepts of the function $$y = \text{sin}(\theta)$$ ?

The x-intercepts occur where $$\text{sin}(\theta) = 0$$ , which is at $$\theta = n\text{π}$$ , where n is an integer.

graphing trig equations Flashcards

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1.

FLASHCARD QUESTION

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CCSS.HSF.TF.A.4

2.

FLASHCARD QUESTION

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The amplitude of the cosine function is 1.

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CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

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CCSS.HSF-IF.C.7E

4.

FLASHCARD QUESTION

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The range of the sine function is [-1, 1].

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CCSS.HSF.TF.A.4

5.

FLASHCARD QUESTION

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CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

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CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

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A negative sign reflects the graph across the x-axis.

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CCSS.HSF-IF.C.7E

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