Evaluate the difference for two angles for sine from a triangle

Evaluate the difference for two angles for sine from a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial covers finding the sine of angles alpha and beta, discussing the constraints of angles, and creating triangles to solve trigonometric problems. It explains the use of the unit circle and the Pythagorean theorem to calculate sines and cosines. The tutorial concludes with final calculations and simplification of results, emphasizing the use of formulas and understanding of trigonometric concepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the unit circle be used directly to find the sine of the given angles?

The angles are not standard angles on the unit circle.

The unit circle is only for cosine values.

The angles are too large for the unit circle.

The unit circle is not applicable for any trigonometric function.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is angle alpha located based on the given constraints?

1st Quadrant

2nd Quadrant

3rd Quadrant

4th Quadrant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the Pythagorean theorem in this problem?

To find the angles of the triangle.

To determine the hypotenuse and other sides of the triangle.

To calculate the area of the triangle.

To convert angles from radians to degrees.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of beta after applying the Pythagorean theorem?

1/3

1/2

sqrt(3)/2

2/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in solving the trigonometric expression?

Combining the numerators after ensuring common denominators.

Using the unit circle to find values.

Drawing a new triangle for verification.

Re-evaluating the angles using a calculator.