What is the period of the function $$y = \tan(kx)$$ ?

The period is given by $$\frac{\text{Period}}{k} = \frac{\text{Base Period}}{k}$$ , where the base period for tangent is $$\frac{\text{\text{Base Period}}}{k} = \frac{\text{Base Period}}{1} = \frac{\text{Base Period}}{k}$$ .

What is the amplitude of the function $$y = A \times \text{trig}(kx) + D$$ ?

The amplitude is the absolute value of A, i.e., $$|A|$$ .

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

The period is given by $$\frac{2\text{π}}{k}$$ .

What is the equation of the graph of a cosine function with an amplitude of 6?

The equation is $$y = 6 \times \text{cos}(x)$$ .

How do you find the maximum value of the function $$y = A \times \text{sin}(kx) + D$$ ?

The maximum value is $$A + D$$ .

What is the minimum value of the function $$y = A \times \text{cos}(kx) + D$$ ?

The minimum value is $$-A + D$$ .

What is the relationship between the sine and cosine functions?

The sine function is a phase-shifted version of the cosine function: $$\text{sin}(x) = \text{cos}(x - \frac{\text{π}}{2})$$ .

What is the equation of the graph of a cosecant function?

The equation is of the form $$y = \text{csc}(x) + D$$ .

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

The period is given by $$\frac{2\text{π}}{k}$$ .

Flashcardizz Graphs of Trigo Func (5A) Flashcards

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2.

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3.

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What is the equation of the graph of a sine function with a vertical shift?

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4.

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How do you determine the vertical shift of a trigonometric function?

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5.

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What is the difference between secant and cosecant functions?

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7.

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Changing k affects the frequency and period of the function; higher k results in a shorter period.

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