The reference angle of 7π/4 is π/4. This is determined by visualizing the angle on a unit circle, finding the closest multiple of π/2, subtracting that multiple from the original angle, and verifying that the resulting angle is positive and acute.1. Understanding the Reference Angle:The reference angle of any angle is the acute angle formed between the terminal side of that angle and the positive x-axis. It's essentially the smallest positive angle that represents the "distance" of the original angle from the x-axis.2. Visualizing 7π/4:Imagine a unit circle and draw an angle starting at the positive x-axis and rotating counter-clockwise by 7π/4 radians. This will land the terminal side in the fourth quadrant, pointing down and slightly to the left.3. Finding the Closest Multiple of π/2:Since we want the acute angle between the terminal side and the x-axis, we need to find the closest multiple of π/2 (90 degrees) that's less than 7π/4. In this case, 2π is the closest multiple, as 3π/2 would already be in the next quadrant.4. Subtracting the Multiple:Now, subtract the closest multiple of π/2 from the original angle:7π/4 - 2π = π/45. Verifying the Result:The resulting angle, π/4, is positive (between 0 and π/2) and acute. It also represents the smallest "distance" between the terminal side of 7π/4 and the x-axis.Therefore, the reference angle of 7π/4 is π/4....

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