If ( \alpha=\frac{7\pi}{10} ) and ( \beta=\frac{13\pi}{10} ), what is the principal angle of ( \alpha+\beta )?

Question

Answer and explanation

Correct answer: (0)

( \alpha+\beta=\frac{20\pi}{10}=2\pi ), which is coterminal with (0). In principal angle form, (2\pi) is taken as (0).

What is the correct answer to this question?

(0)

Why is this the correct answer?

( \alpha+\beta=\frac{20\pi}{10}=2\pi ), which is coterminal with (0). In principal angle form, (2\pi) is taken as (0).

Which subject and chapter does this question cover?

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