What is the value of $$\tan(\theta)$$ in terms of sine and cosine?

$$\tan(\theta) = \frac{\text{sin}(\theta)}{\text{cos}(\theta)}$$ .

What is the horizontal shift of the function $$f(\theta) = \text{sin}(\theta - \frac{\text{pi}}{4}) + 1$$ ?

The horizontal shift is $$\frac{\text{pi}}{4}$$ to the right.

What is the definition of cosecant?

Cosecant is the reciprocal of sine, defined as $$\text{csc}(x) = \frac{1}{\text{sin}(x)}$$ .

What is the value of $$\text{csc}(x)$$ if the opposite side is $$\text{sqrt}{53}$$ and the hypotenuse is $$2$$ ?

$$\text{csc}(x) = \frac{\text{sqrt}{53}}{2}$$ .

What is the value of $$\text{cos}(x)$$ if the adjacent side is $$7\text{sqrt}{53}$$ and the hypotenuse is $$53$$ ?

$$\text{cos}(x) = \frac{7\text{sqrt}{53}}{53}$$ .

What is the fundamental period of the sine function?

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

What is the fundamental period of the cosine function?

The fundamental period of the cosine function is $$2\text{pi}$$ .

Periodic Functions Assessment Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a periodic function?

Back

A periodic function is a function that repeats its values at regular intervals or periods. The smallest positive period is called the fundamental period.

2.

FLASHCARD QUESTION

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1, inclusive.

3.

FLASHCARD QUESTION

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1, inclusive.

4.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosine?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the inverse function of sine?

Back

7.

FLASHCARD QUESTION

Front

What is the inverse function of cosine?

Back

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