If sin x = 1/3 then find the value of sin 3x ?

  1. 21/27
  2. 24/27
  3. 25/27
  4. 23/27

Answer (Detailed Solution Below)

Option 4 : 23/27
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Detailed Solution

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CONCEPT:

sin 3x = 3 sin x - 4 sin3 x

CALCULATION:

Given: sin x = 1/3

As we know that, sin 3x = 3 sin x - 4 sin3 x

⇒ \(sin \ 3x = (3 \times \frac{1}{3}) - (4 \times \frac{1}{27}) = \frac{23}{27}\)

Hence, the correct option is 4.

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