Question

angles in standard position
find 2 angles that are coterminal with 135°.
the angle between 0° and 360° that is coterminal with the 1912° angle is
degrees.
question help: worked example 1
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Explanation:

Step1: Divide the angle by 360

To find the coterminal angle between \(0^{\circ}\) and \(360^{\circ}\) for \(1912^{\circ}\), we first divide \(1912\) by \(360\).
\(1912\div360 = 5\) with a remainder. Using the formula \(1912=360\times5 + r\), where \(r\) is the remainder.
\(1912 = 360\times5+112\) (since \(360\times5 = 1800\) and \(1912 - 1800=112\))

Step2: Verify the range

Since \(0^{\circ}<112^{\circ}<360^{\circ}\), the angle \(112^{\circ}\) is the coterminal angle of \(1912^{\circ}\) in the range \(0^{\circ}\) to \(360^{\circ}\)

Answer:

\(112\)