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Aliun [14]
2 years ago
12

Select all the correct answers.

Mathematics
1 answer:
Vlad1618 [11]2 years ago
3 0

Answer:

  • The measure of reference angle is 30^{\circ}.
  • \cos \theta=\frac{\sqrt{3}}{2}

Step-by-step explanation:

Converting \theta to degrees,

\theta=\left(\frac{11\pi}{6} \right) \left(\frac{180}{\pi} \right)=330^{\circ}

This means \theta lies in Quadrant 4, and thus its reference angle is 360^{\circ}-330^{\circ}=\boxed{30^{\circ}}

Since \theta lies in the fourth quadrant, \sin \theta and \tan \theta are negative.

Since \theta lies in the fourth quadrant, \cos \theta is positive, and is equal to \cos (30^{\circ})=\boxed{\frac{\sqrt{3}}{2}}

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