Question

If sin x= 1/2, then sin 3x =_______________

(a) \(\sqrt{3}\)/2

(b) 1/2

(c) 1/\(\sqrt{2}\)

(d) 1

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

My question is from Trigonometric Functions of Sum and Difference of Two Angles-2 in portion Trigonometric Functions of Mathematics – Class 11

Answer 1

The correct option is (d) 1

The best explanation: We know, sin 3x = 3sin x – 4sin^3x

= 3(1/2) – 4(1/2)^3

= 3/2 – 4/8 = 3/2 – 1/2 = 1.