Determining the sine of the sum of two angles

Determining the sine of the sum of two angles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the sine of the sum of two angles, specifically π/3 and π/4, using the sine angle sum formula. The instructor guides students through identifying the angles, applying the formula, and evaluating the angles using the unit circle. The tutorial concludes with simplifying the expression to reach the final answer, emphasizing common factors in the numerator and denominator.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the sine of the sum of two angles?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the sine and cosine of the angles π/3 and π/4?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the angles π/3 and π/4 on the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What common factor can be factored out when simplifying the expression involving sqrt(2)?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final simplified answer for the expression involving sqrt(2) and the angles?

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