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The angle between 0° and 360° that is coterminal with the 1323° angle is

User Kedare
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1 Answer

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14 votes

To obtain the angle between 0° and 360° that is coterminal with the 1323° angle, the following steps are necessary:

Step 1: Reduce the given angle to its equivalent that lies between 0° and 360°, as below:


\text{subtract the highest multiple of 360}^o,\text{ from the given angle}

The highest multiple is:


\begin{gathered} 3*360^o \\ \Rightarrow1080^o \end{gathered}

Now, we subtract as follows:


\begin{gathered} 1323^0-1080^o \\ \Rightarrow243^o \end{gathered}

Thus the equivalent of the 1323° angle is 243°

Step 2: Now, to obtain the angle between 0° and 360° that is coterminal with the 243° (which is the equivalent of 1323°), we have as below:

Subtract as follows:


\begin{gathered} 360^o-243^o \\ \Rightarrow117^o \end{gathered}

Therefore, the the angle between 0° and 360° that is coterminal with 1323° is 117°

User Bimasakti
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