What is the period of the cotangent function $$y=2\text{cot}(2x)+1$$ ?

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

How does the value of 'b' in the tangent function affect its period?

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

What is the vertical asymptote of the tangent function?

The vertical asymptotes occur at $$x = \frac{\text{π}}{2} + n\text{π}$$ , where n is any integer.

What is the relationship between tangent and cotangent functions?

Cotangent is the reciprocal of tangent: $$\text{cot}(x) = \frac{1}{\tan(x)}$$ .

What is the effect of a vertical stretch on the tangent function?

A vertical stretch increases the steepness of the graph.

How do you find the vertical asymptotes of the cotangent function?

Vertical asymptotes occur at $$x = n\text{π}$$ , where n is any integer.

What is the range of the tangent function?

The range of the tangent function is all real numbers, $$(-\text{∞}, \text{∞})$$ .

What is the range of the cotangent function?

The range of the cotangent function is also all real numbers, $$(-\text{∞}, \text{∞})$$ .

Explain how to determine the phase shift of a tangent function.

The phase shift is determined by the value of 'c' in the function $$y = a \tan(b(x - c)) + d$$ .

Flashcard 2 (Trig Unit 2) - Tangent & Cotangent RETAKE Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The period is 6.

2.

FLASHCARD QUESTION

Front

Which function is graphed if it has a repeating pattern with vertical asymptotes?

Back

Tangent function.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define the period of a trigonometric function.

Back

The period is the distance along the x-axis over which the function completes one full cycle.

7.

FLASHCARD QUESTION

Front

What is the general form of the tangent function?

Back

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