We must find the coterminal angles of two angles.
1) The coterminal angle of θ = - π/3 between 0 and 2π. We have a negative angle in radians, to find its coterminal angle we sum 2π to it. The coterminal angle is:
[tex]\theta+2\pi=-\frac{\pi}{3}+2\pi=-\frac{\pi}{3}+\frac{6}{3}\pi=\frac{5}{3}\pi\text{.}[/tex]
2) The coterminal angle of θ = 690° between 0° and 360°. We have a positive angle greater than 360°, to find its coterminal angle we substract 360° to it. The coterminal angle is:
[tex]\theta-360^{\circ}=690^{\circ}-360^{\circ}=330^{\circ}.[/tex]
Answers
1) 5/3 Pi
2) 330°
