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If sin x= 1/2, then sin 3x =_______________(a) \(\sqrt{3}\)/2(b) 1/2(c) 1/\(\sqrt{2}\)(d) 1This 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»

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.



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