What is the multiplier for a 45 degree offset?

What is the multiplier for a 45 degree offset?

• A. 1.00
• B. 1.41
• C. 1.73
• D. 2.00

Answer: (B)

When a signal or vector is offset by 45 degrees, the component you read along a fixed axis is reduced by cos(45°). Since cos(45°) equals 1/√2, recovering the true magnitude from that axis reading requires multiplying by the reciprocal, sec(45°) = √2, which is about 1.41. So the multiplier for a 45-degree offset is √2 ≈ 1.41. The other values don’t fit the geometry: 1.00 would ignore the offset, and 1.73 is √3, which corresponds to a different angle.

When a signal or vector is offset by 45 degrees, the component you read along a fixed axis is reduced by cos(45°). Since cos(45°) equals 1/√2, recovering the true magnitude from that axis reading requires multiplying by the reciprocal, sec(45°) = √2, which is about 1.41. So the multiplier for a 45-degree offset is √2 ≈ 1.41. The other values don’t fit the geometry: 1.00 would ignore the offset, and 1.73 is √3, which corresponds to a different angle.