How to evaluate the sine inverse

How to evaluate the sine inverse

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of sine inverse, emphasizing its role in finding angles on the unit circle. It highlights the importance of using radians as the default angle measure and demonstrates how to solve equations using sine inverse notation. The tutorial also covers the restrictions on angles for sine inverse and how to identify the correct angle that satisfies these restrictions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of using sine inverse in trigonometry?

To calculate the area of a triangle

To determine the angle in degrees

To find the length of a side in a triangle

To find the angle in radians

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the equation 'sine of Theta equals 1/2' be expressed using sine inverse notation?

Theta equals 2 times sine inverse

Theta equals sine inverse of 1/2

Theta equals 1/2 times sine inverse

Theta equals sine of 1/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to 'undo' addition in algebra, similar to how sine inverse 'undoes' sine?

Division

Subtraction

Multiplication

Exponentiation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle on the unit circle satisfies the sine inverse of 1/2 within the restricted range?

5π/6

π/6

π/4

π/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is there only one unique answer for the sine inverse function?

Because it is a quadratic function

Because it is a linear function

Because it is an inverse function

Because it is a periodic function