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Section 8.3: Inverse Trigonometric Functions

Authored by Julie Sullivan

Mathematics

University

Used 3+ times

Section 8.3: Inverse Trigonometric Functions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the inverse sine function 'undo' in trigonometry?

It undoes the original sine function.

It calculates the hypotenuse of a triangle.

It finds the area of a circle.

It multiplies angles in radians.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the inverse cosine function?

[0, π]

[-π/2, π/2]

(-∞, ∞)

[-1, 1]

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement is true for the graph of the inverse tangent function?

It has a range of all real numbers.

It has a domain of [-π, π].

It is not a one-to-one function.

It passes the horizontal line test.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the inverse sine function?

[-1, 1]

[-π/2, π/2]

(-∞, ∞)

[0, π]

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If sin(π/6) = 1/2, what is sin⁻¹(1/2)?

π/6

π/4

π/2

π/3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct expression for the inverse of the cosine function?

cos⁻¹(x) means x = cosy.

cos⁻¹(x) means x = cotx.

cos⁻¹(x) means x = sinx.

cos⁻¹(x) means x = tanx.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is sometimes called the arcsine function?

sec⁻¹(x)

cos⁻¹(x)

sin⁻¹(x)

tan⁻¹(x)

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