How do we apply inverses to trigonometric functions

How do we apply inverses to trigonometric functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers inverse operations in algebra, including addition, subtraction, multiplication, division, and square roots. It then transitions to inverse trigonometric functions, focusing on inverse sine and its application using the unit circle. The tutorial explains how to determine angles where sine equals a specific value, emphasizing the importance of understanding the range of inverse functions.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse operation of addition?

Square root

Division

Subtraction

Multiplication

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When isolating a variable being multiplied by 4, which operation should be used?

Addition

Subtraction

Division

Square root

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse operation of squaring a number?

Subtraction

Square root

Multiplication

Addition

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is the reciprocal of sine?

Cosine

Inverse sine

Cosecant

Tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is another name for the inverse sine function?

Arccosine

Arctangent

Cosecant

Arcsine

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

On the unit circle, what is the angle where sine equals 1/2?

5π/6

π/6

π/4

π/3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is 5π/6 not considered in the inverse sine of 1/2?

It is not a valid angle on the unit circle.

It is not within the range of the inverse sine function.

It is a reciprocal function.

It does not have a sine value of 1/2.