4d Example 2 (Evaluating trig functions with the same reference angle)

4d Example 2 (Evaluating trig functions with the same reference angle)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores the evaluation of trigonometric functions using the unit circle. It begins with an introduction to angles intersecting the unit circle and special right triangles. The instructor demonstrates how to evaluate the sine of π/3 and 4π/3, highlighting the concept of reflections and reference angles. The tutorial continues with the evaluation of sine for 5π/6, emphasizing the use of reference angles and quadrant analysis. Finally, the tangent of π/4 and its negative counterpart are discussed, showcasing the importance of understanding reference angles and quadrant signs for efficient trigonometric evaluation.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the reference angle and the value of trigonometric functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the cosine value for π/6 and how does it relate to the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the tangent of an angle in the fourth quadrant?

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