Question

11 xIf the measure of angle 8 is 6, which statements are true?

Answer 1

Given,

The expression of angle is,

`\theta=(11\pi)/(6)`

Required

The correct for the given expression.

Coverting the angle from radian to degree.

`\begin{gathered} \theta=(11\pi)/(6) \\ =11*(180^(\circ))/(6) \\ =11*30^(\circ) \\ =330^(\circ) \end{gathered}`

The given angle is of 330 degree.

The refrence angle of the given angle is,

`Refernce\text{ angle = 360}^(\circ)-330^(\circ)=30^(\circ)`

The value of different trigonometric function at 330 degree is,

`\begin{gathered} sin330^(\circ)=-(1)/(2) \\ cos330^(\circ)=(√(3))/(2) \\ tan330^(\circ)=-(1)/(√(3)) \end{gathered}`

Hence, the true statements are:

The measure of the refernce angle is 30 degree.

cos theta = sqrt(3)/2