यदि sin x = 1/3 तो sin 3x का मान ज्ञात कीजिए।

  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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अवधारणा:

sin 3x = 3 sin x - 4 sin3 x

गणना:

दिया गया है: sin x = 1/3

जैसा कि हम जानते हैं कि sin 3x = 3 sin x - 4 sin3 x

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

अत: सही विकल्प 4 है।

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