The inequality that would result in the shaded solution on the unit circle to the right is [tex]\cos(x)>\sqrt{3}/2[/tex] and this can be determined by using the trigonometric properties.
Given :
The unit circle is given.
The following steps can be used in order to determine the inequality that would result in the shaded solution on the unit circle to the right:
Step 1 - First determine the value of cosine function when the angle is [tex]5\pi/6[/tex]
[tex]\cos\dfrac{5\pi}{6} = -\cos \dfrac{\pi}{6}[/tex]
[tex]\cos\dfrac{5\pi}{6} = -\dfrac{\sqrt{3} }{2}[/tex]
Step 2 - Now, determine the value of the cosine function when the angle is [tex]\pi/6[/tex].
[tex]\cos\dfrac{\pi}{6} = \dfrac{\sqrt{3} }{2}[/tex]
Step 3 - Now, when the value of 'x' increases then the value of the cosine function also increases.
From the above steps, it can be concluded that the cosine function should be greater then [tex]\sqrt{3} /2[/tex]. Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/19491153
