Question

Find general solution to equation sin x = 1/2.

(a) x = nπ + (-1)^n π/3

(b) x = nπ + (-1)^n π/6

(c) x = nπ + (-1)^n 2π/3

(d) x = nπ + (-1)^n 5π/6

This question was posed to me by my college professor while I was bunking the class.

Origin of the question is Trigonometric Equations in section Trigonometric Functions of Mathematics – Class 11

Answer 1

Right answer is (d) x = nπ + (-1)^n 5π/6

Easiest explanation: sin x= 1/2

sin x = sin π/6

x = nπ + (-1)^n π/6.