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Given the reference angle of start fraction, pi, divided by, 5, end fraction 5π​ , find the corresponding angle in Quadrant 22.

Question

Given the reference angle of start fraction, pi, divided by, 5, end fraction 5π​ , find the corresponding angle in Quadrant 22.

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Solution

The reference angle given is π/5. This is the angle made with the x-axis in the positive direction.

In Quadrant II, angles range from π to 2π.

The corresponding angle in Quadrant II would be π - (π/5) = 4π/5.

So, the corresponding angle in Quadrant II for the reference angle π/5 is 4π/5.

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