Evaluate inverse cosecant without a calculator

Evaluate inverse cosecant without a calculator

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to find the angle for a given cosecant inverse value by using reciprocal functions. It covers the process of rewriting the equation in terms of sine, solving for sine theta, and identifying the correct angle considering domain restrictions. The tutorial also discusses simplifying the process by using reciprocal properties.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when dealing with the inverse of the cosecant function?

To calculate the sine of the angle

To find the angle corresponding to a given cosecant value

To determine the cosecant value for a given angle

To find the cosine of the angle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the problem of finding the angle for a given cosecant value be simplified?

By applying the Pythagorean theorem

By using the cosine function

By rewriting it in terms of the sine function

By using the tangent function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of theta when the cosecant of theta is negative square root of 2?

sqrt(2)/2

1

-1

-sqrt(2)/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrants should the angle be located to satisfy the condition of a negative sine value?

1st and 2nd Quadrants

2nd and 3rd Quadrants

3rd and 4th Quadrants

1st and 4th Quadrants

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final angle that satisfies the condition of the cosecant inverse of negative 2?

-π/2

-π/4

π/2

π/4