Problem

Find the angle of least positive measure that is coterminal with $A$. \[ \mathrm{A}=2392^{\circ} \] The measure is ${ }^{\circ}$. (Simplify your answer.)

Solution

Step 1 :The question is asking for the smallest positive angle that is coterminal with 2392 degrees. Two angles are coterminal if they differ by an integer multiple of 360 degrees.

Step 2 :Therefore, to find the smallest positive coterminal angle, we can subtract multiples of 360 from 2392 until we get an angle between 0 and 360.

Step 3 :\(A = 2392 - 6 \times 360 = 232\)

Step 4 :Final Answer: The angle of least positive measure that is coterminal with \(2392^\circ\) is \(\boxed{232^\circ}\)

From Solvely APP
Source: https://solvelyapp.com/problems/19408/

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