What is the value of $$\text{cos}^{-1}(\text{cos}(\frac{7\text{pi}}{4}))$$ ?

The value is $$\frac{\text{pi}}{4}$$ .

What is the value of $$\text{cos}^{-1}(\frac{\text{sqrt}{3}}{2})$$ ?

The value is $$\frac{\text{pi}}{6}$$ or $$30^{\text{o}}$$ .

What is the value of $$\text{arctan}(\tan(\frac{5\text{pi}}{4}))$$ ?

The value is $$-\frac{\text{pi}}{4}$$ .

Define the inverse tangent function.

The inverse tangent function, denoted as $$\text{tan}^{-1}(x)$$ or $$\text{arctan}(x)$$ , returns the angle whose tangent is x, with a range of $$(-\frac{\text{pi}}{2}, \frac{\text{pi}}{2})$$ .

What is the relationship between inverse trigonometric functions and their corresponding trigonometric functions?

Inverse trigonometric functions undo the effect of their corresponding trigonometric functions, meaning if $$y = \text{sin}^{-1}(x)$$ , then $$\text{sin}(y) = x$$ .

What is the value of $$\text{sin}^{-1}(1)$$ ?

The value is $$\frac{\text{pi}}{2}$$ .

What is the value of $$\text{sin}^{-1}(-1)$$ ?

The value is $$-\frac{\text{pi}}{2}$$ .

What is the value of $$\text{tan}^{-1}(1)$$ ?

The value is $$\frac{\text{pi}}{4}$$ .

Inverse Trig (with Compositions) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define the inverse cosine function.

Back

Tags

CCSS.HSF-BF.B.4D

2.

FLASHCARD QUESTION

Front

What is the range of the inverse sine function?

Back

Tags

CCSS.HSF-BF.B.4D

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.B.7

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.B.7

5.

FLASHCARD QUESTION

Front

Back

The value is 0.

6.

FLASHCARD QUESTION

Front

Back

The value is 1.

Tags

CCSS.HSF.TF.B.7

7.

FLASHCARD QUESTION

Front

Back

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