What is the graph of the secant function characterized by?

The secant function has vertical asymptotes where the cosine function is zero and a period of 2π.

What is the graph of the cosecant function characterized by?

The cosecant function has vertical asymptotes where the sine function is zero and a period of 2π.

What is the relationship between sine and cosecant?

$$\text{Cosecant} = \frac{1}{\text{Sine}}$$

What is the relationship between cosine and secant?

$$\text{Secant} = \frac{1}{\text{Cosine}}$$

What is the relationship between tangent and cotangent?

$$\text{Cotangent} = \frac{1}{\text{Tangent}}$$

How do you find the period of a trigonometric function?

The period of a function is the length of one complete cycle. For sine and cosine, it's 2π; for tangent and cotangent, it's π.

What is the amplitude of a trigonometric function?

The amplitude is the maximum distance from the midline to the peak (or trough) of the graph.

What is the phase shift in a trigonometric function?

The phase shift is the horizontal shift left or right for periodic functions.

3/20: Trig Graphs Intro Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of tangent in a right triangle?

Back

2.

FLASHCARD QUESTION

Front

What is the ratio of sine in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

What is the ratio of cosine in a right triangle?

Back

4.

FLASHCARD QUESTION

Front

What is the graph of the sine function characterized by?

Back

The sine function oscillates between -1 and 1, with a period of 2π.

5.

FLASHCARD QUESTION

Front

What is the graph of the cosine function characterized by?

Back

The cosine function oscillates between -1 and 1, with a period of 2π.

6.

FLASHCARD QUESTION

Front

What is the graph of the tangent function characterized by?

Back

The tangent function has vertical asymptotes and a period of π.

7.

FLASHCARD QUESTION

Front

What is the graph of the cotangent function characterized by?

Back

The cotangent function has vertical asymptotes and a period of π.

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