Question

The solutions of a trigonometric equation for which ___________ are called principal solutions.

(a) 0 < x < 2π

(b) 0 ≤ x < π

(c) 0 ≤ x < 2π

(d) 0 ≤ x < nπ

I got this question during an internship interview.

My query is from Trigonometric Equations topic in portion Trigonometric Functions of Mathematics – Class 11

Answer 1

The correct choice is (c) 0 ≤ x < 2π

To explain I would say: The solutions of a trigonometric equation for which 0 ≤ x < 2π are called principal solutions. x should lie between 0 and 2π except 2π.