Given,
The expression of angle is,
[tex]\theta=\frac{11\pi}{6}[/tex]
Required
The correct for the given expression.
Coverting the angle from radian to degree.
[tex]\begin{gathered} \theta=\frac{11\pi}{6} \\ =11\times\frac{180^{\circ}}{6} \\ =11\times30^{\circ} \\ =330^{\circ} \end{gathered}[/tex]
The given angle is of 330 degree.
The refrence angle of the given angle is,
[tex]Refernce\text{ angle = 360}^{\circ}-330^{\circ}=30^{\circ}[/tex]
The value of different trigonometric function at 330 degree is,
[tex]\begin{gathered} sin330^{\circ}=-\frac{1}{2} \\ cos330^{\circ}=\frac{\sqrt{3}}{2} \\ tan330^{\circ}=-\frac{1}{\sqrt{3}} \end{gathered}[/tex]
Hence, the true statements are:
The measure of the refernce angle is 30 degree.
cos theta = sqrt(3)/2
