Given the reference angle of start fraction, pi, divided by, 4, end fraction 4π , find the corresponding angle in Quadrant 22.
Question
Given the reference angle of start fraction, pi, divided by, 4, end fraction 4π , find the corresponding angle in Quadrant 22.
Solution
The reference angle given is π/4. In the unit circle, this corresponds to an angle of 45 degrees.
Quadrant II is the section of the unit circle between 90 degrees (π/2) and 180 degrees (π).
To find the corresponding angle in Quadrant II, we subtract our reference angle from π (180 degrees).
So, π - π/4 = 3π/4.
Therefore, the corresponding angle in Quadrant II is 3π/4.
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