Find the Values of Theta in Degrees and Radians in the First Quadrant

Find the Values of Theta in Degrees and Radians in the First Quadrant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the angle Theta when the sine of the angle equals 1/2. It begins by clarifying that sine represents the Y coordinate on the unit circle. The instructor then identifies that the problem is limited to angles between 0 and 90 degrees or 0 and π/2 radians. By examining the unit circle, the instructor finds that the Y coordinate equals 1/2 at 30 degrees. Thus, the solution to the problem is Theta equals 30 degrees.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of angles between 0 and 90 degrees in this problem.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final conclusion about Theta based on the analysis of the unit circle?

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