Given the reference angle of start fraction, 2, pi, divided by, 7, end fraction 72π , find the corresponding angle in Quadrant 33.
Question
Given the reference angle of start fraction, 2, pi, divided by, 7, end fraction 72π , find the corresponding angle in Quadrant 33.
Solution
The question seems to be a bit confusing. However, if you're asking to find the corresponding angle in Quadrant III for a reference angle of 2π/7, here's how you can do it:
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Understand that the reference angle is the acute angle a line makes with the x-axis. It's always between 0 and π/2 (or 0 and 90 degrees).
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Know that Quadrant III is where both x and y are negative. The angles in this quadrant are between π (180 degrees) and 3π/2 (270 degrees).
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To find the corresponding angle in Quadrant III, you add π (180 degrees) to your reference angle.
So, the corresponding angle in Quadrant III for a reference angle of 2π/7 would be 2π/7 + π = 9π/7.
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