cos^-1(cos 7π/6) ans this
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let
y=cos^-1(cos 7π/6)
cos y =cos 7π/6
cos y =cos 210°
range of principal value of cos is (0,π) i.e. (0°,180°)
hence y≠210°
now
cos y =cos 210°
cos y=cos (360-150)°
{cos (360-theta)=cos theta}
cos y=cos 150°
y=150°= 5π/6
cos^-1(cos 7π/6)=150°=5π/6
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