Coterminal Angles

Notes

Notes for Coterminal Angles

 

Questions

Find 2 coterminal angles (one positive and one negative)

\(\textbf{1)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=100^{\circ}\) Link to Youtube Video Solving Question Number 1

 

\(\textbf{2)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=641^{\circ}\) Link to Youtube Video Solving Question Number 2

 

\(\textbf{3)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=-281^{\circ}\)Link to Youtube Video Solving Question Number 3

 

\(\textbf{4)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=40^{\circ}\)

 

\(\textbf{5)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{\pi}{3}\)

 

\(\textbf{6)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{3\pi}{4}\)

 

\(\textbf{7)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{7\pi}{15}\)

 

\(\textbf{8)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{\pi}{7}\)

 

\(\textbf{9)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=215^{\circ}\)

 

\(\textbf{10)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=-150^{\circ}\)

 

\(\textbf{11)}\) Find 2 coterminal angles (one positive and one negative)
\(\theta=330^{\circ}\)

 

\(\textbf{12)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{5\pi}{6}\)

 

\(\textbf{13)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{2\pi}{5}\)

 

\(\textbf{14)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{11\pi}{9}\)

 

\(\textbf{15)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{4\pi}{11}\)

 

\(\textbf{16)}\) Find 2 coterminal angles (one positive and one negative)
\(x=\displaystyle\frac{9\pi}{8}\)

 

 

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In Summary

Coterminal angles are two or more angles that share the same initial and terminal sides and differ only in the degree measure. In degrees, coterminal angles are angles that differ by a multiple of \(360\) degrees. In radians, coterminal angles differ by a multiple of \(2π\) radians.
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