If an angle is in the third quadrant and its reference angle is (\frac{2\pi}{11}), what is the principal angle?

Question

Answer and explanation

Correct answer: (\frac{13\pi}{11})

In the third quadrant, the angle is (\pi+\alpha). Hence (\pi+\frac{2\pi}{11}=\frac{13\pi}{11}).

What is the correct answer to this question?

(\frac{13\pi}{11})

Why is this the correct answer?

In the third quadrant, the angle is (\pi+\alpha). Hence (\pi+\frac{2\pi}{11}=\frac{13\pi}{11}).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.