Question

assignment 7.1: angles
score: 11/27 answered: 6/13
question 7
the angle between 0° and 360° that is coterminal with a standard position angle measuring 1226° angle is
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Explanation:

Step1: Divide the given angle by 360

To find the coterminal angle between \(0^{\circ}\) and \(360^{\circ}\) for \(1226^{\circ}\), we use the formula \(\theta - n\times360^{\circ}\), where \(n\) is an integer. First, divide \(1226\) by \(360\): \(1226\div360 = 3\frac{146}{360}\) (or \(1226 = 3\times360+146\)).

Step2: Calculate the coterminal angle

Since \(n = 3\) (the largest integer such that \(n\times360\leqslant1226\)), then \(\theta_{coterminal}=1226 - 3\times360\).

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Answer:

\(146\)