The coterminal angle of angle [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].
The coterminal angles are the angles that have the same initial side and the same terminal sides.
To determine the coterminal angle of a given angle just adding or subtracting 360° or 2π to it.
The coterminal angle of angle [tex]\frac{7\pi}{8}[/tex] is,
[tex]2\pi+\frac{7\pi}{8}=\frac{16\pi+7\pi}{8} =\frac{23\pi}{8}[/tex]
Hence, The coterminal angle of angle [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].
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