How to evaluate sum of two angles using the sum formula for sine

How to evaluate sum of two angles using the sum formula for sine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the sine formula for the sum of two angles, using U and V as examples. It covers the unit circle and how to determine coordinates for specific angles, such as π/6 and π/4. The tutorial demonstrates evaluating trigonometric expressions by plugging in angles and calculating the sine and cosine values. It concludes with a discussion on the signs of trigonometric functions and their differences.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sign formula for the sum of two angles U and V?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the sine and cosine for the angle π / 6?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates for the angle 3π / 4 in the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to evaluate the expression sin(3π / 4) * cos(π / 6) + cos(3π / 4) * sin(π / 6).

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer after factoring out in the expression derived from the previous evaluation?

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