Find the Values of Theta in Degrees and Radians in the First Quadrant
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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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