Corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]
So, option C. is correct.
Define unit circle.
A unit circle is a circle with radius is equal to one.
Any point on a unit circle is of the form [tex]\boldsymbol{\left ( cos\, \theta, \sin\, \theta \right )}[/tex]
Value of [tex]\theta[/tex] is [tex]\boldsymbol{\frac{7\pi}{6}}[/tex]
So, corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]}[/tex]
[tex]\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]=\left [\cos \left (\pi + \frac{\pi}{6} \right ),\sin \left (\pi + \frac{\pi}{6} \right ) \right ][/tex]
[tex]=\left [ -cos\left ( \frac{\pi}{6} \right ),-\sin\left ( \frac{\pi}{6} \right ) \right ]\\=\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]
So, option C. is correct.
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