Evaluate for theta between 0 and 2pi

Evaluate for theta between 0 and 2pi

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate Theta when the cosecant of Theta equals 2√3/3. It begins by discussing the relationship between cosecant and sine, emphasizing that cosecant is the reciprocal of sine. The instructor demonstrates how to find the reciprocal of coordinate points and rationalize the denominator to match the given cosecant value. The tutorial then identifies angles where sine equals √3/2, which corresponds to the given cosecant value. Finally, it explains the reflection over the Y-axis to find additional angles, concluding with the angles π/3 and 2π/3 as solutions.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the reciprocal of sine is used to find cosecant.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of rationalizing the denominator in the context of cosecant?

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