Question
\begin{tabular}{l|l} Find the angle of least positive measure(in degrees, not equal to the given measure) that is \\ coterminal with \( A \). \\ \( A=622^{\circ} \)\end{tabular}\( \quad \) The measure is \( \square^{\circ} \).
Ask by Cummings Haynes. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The least positive coterminal angle is \( 262^{\circ} \).
Solution
To find the angle of least positive measure that is coterminal with \( A = 622^{\circ} \) and not equal to \( 622^{\circ} \), we can subtract multiples of \( 360^{\circ} \) until we get an angle between \( 0^{\circ} \) and \( 360^{\circ} \).
\[
622^{\circ} - 360^{\circ} = 262^{\circ}
\]
Since \( 262^{\circ} \) is within the desired range and is different from \( 622^{\circ} \), it is the least positive coterminal angle.
**The measure is \( 262^{\circ} \).**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To find the angle of least positive measure that is coterminal with \( A = 622^{\circ} \), we first need to subtract multiples of \( 360^{\circ} \) (since a full circle is \( 360^{\circ} \)) until we get a positive angle within the standard range of \( 0^{\circ} \) to \( 360^{\circ} \). Calculating: \[ 622^{\circ} - 360^{\circ} = 262^{\circ} \] \( 262^{\circ} \) is already a positive angle and is less than \( 360^{\circ} \). Thus, the measure is \( 262^{\circ} \).
