Given the reference angle of start fraction, pi, divided by, 6, end fraction 6π , find the corresponding angle in Quadrant 33.
Question
Given the reference angle of start fraction, pi, divided by, 6, end fraction 6π , find the corresponding angle in Quadrant 33.
Solution
The question seems to be a bit confusing. However, if you're asking for the corresponding angle of π/6 in the third quadrant, here's how you can find it:
Step 1: Understand that the reference angle is the acute angle that the terminal side of the given angle makes with the x-axis. The reference angle of π/6 is the same in all quadrants.
Step 2: Know that angles in the third quadrant range between π (180 degrees) and 2π (360 degrees).
Step 3: To find the corresponding angle of π/6 in the third quadrant, you add π to π/6.
Step 4: Find a common denominator to add these fractions. The common denominator of 6 and 1 is 6. So, you rewrite π as 6π/6.
Step 5: Add 6π/6 and π/6 to get 7π/6.
So, the corresponding angle of π/6 in the third quadrant is 7π/6.
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