Evaluate inverse cosine in a composition by creating a right triangle

Evaluate inverse cosine in a composition by creating a right triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the sine of the cosine inverse of 1/3 by constructing a triangle. It guides through creating a triangle to find an unknown angle, Theta, and then uses the Pythagorean theorem to calculate the sine of this angle. The tutorial concludes with a final example and mentions a quiz for further practice.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem discussed in the video?

Finding the cosine of sine inverse of 1/3

Finding the sine of cosine inverse of 1/3

Finding the sine of tangent inverse of 1/3

Finding the tangent of sine inverse of 1/3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to create a triangle for solving the problem?

To find the tangent of the angle

Because the value is not on the unit circle

Because the value is on the unit circle

To find the cosine of the angle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unknown angle in the triangle referred to as?

Alpha

Theta

Beta

Gamma

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is used to find the value of y in the triangle?

y^2 = 1^2 + 3^2

y^2 = 1^2 - 3^2

y^2 = 3^2 - 1^2

y^2 = 3^2 + 1^2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of the sine of the angle?

sqrt(2)/2

1/2

2 sqrt(2)

3/2