sin 75° का मान ज्ञात कीजिए। 

  1. \(\frac{\sqrt 3 -1 }{2\sqrt2}\)
  2. \(\frac{\sqrt 3 +1 }{2\sqrt2}\)
  3. \(\frac{\sqrt 3 -1 }{\sqrt2}\)
  4. \(\frac{\sqrt 3 +1 }{\sqrt2}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{\sqrt 3 +1 }{2\sqrt2}\)
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Detailed Solution

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संकल्पना:

sin (x + y) = sin x cos y + cos x sin y

sin (x - y) = sin x cos y - cos x sin y

गणना:

sin 75°

= sin (45° + 30°)

= sin 45° cos 30° + cos 45° sin 30° 

\(\rm \frac{1}{\sqrt 2} \times \frac{\sqrt 3}{2} + \frac{1}{\sqrt 2} \times \frac{1}{2}\)

\(\frac{\sqrt 3 +1 }{2\sqrt2}\)

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