Question

the angle between 0° and 360° and is coterminal with a standard position angle measuring 1398° angle is degrees. question help: video submit question

Explanation:

Step1: Divide the given angle by 360

We know that to find a coterminal angle between \(0^{\circ}\) and \(360^{\circ}\), we use the formula \(\theta - n\times360^{\circ}\), where \(n\) is an integer. First, find \(n\) by dividing \(1398\) by \(360\): \(\frac{1398}{360}=3.883\cdots\). So \(n = 3\) (since we want the largest multiple of \(360\) less than \(1398\)).

Step2: Calculate the coterminal angle

Substitute \(n = 3\) into the formula \(\theta - n\times360^{\circ}\). Let \(\theta=1398^{\circ}\), then \(1398-3\times360=1398 - 1080\).

$$1398-1080 = 318$$

Answer:

\(318\)