How to use the difference of two angles to evaluate for the sine of an angle

How to use the difference of two angles to evaluate for the sine of an angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the sine of 15 degrees, initially using a calculator and rounding the result. It then transitions to finding the exact value using the difference formula for sine, breaking down the process into steps. The instructor emphasizes the importance of understanding the unit circle for evaluating trigonometric functions and presents different mathematical representations of the result. The tutorial aims to equip students with the skills to find both approximate and exact values of trigonometric functions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sine of 15 degrees based on the difference of angles?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the difference formula for sine as discussed in the lesson.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the exact values of sine and cosine for 45 degrees and 30 degrees?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the sine and cosine values using the unit circle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to multiply fractions in the context of trigonometric values.

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