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What is the corresponding point on the unit circle for the given radian measure?
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Select The Correct Answer What Is The Corresponding Point On The Unit Circle For The Given Radian Measure Please Help Ill Make You The Brainlyest class=

Sagot :

* i made the numbers negative because we’re in the third quadrant * answer is c
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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.

Find out more information about circle here:

https://brainly.com/question/11833983?referrer=searchResults

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