2 sin 75° cos 75° का मान क्या है?

  1. \(\frac 12\)
  2. \(\frac 1 {\sqrt 2}\)
  3. \(\frac {\sqrt 3}2\)
  4. इनमें से कोई नहीं 

Answer (Detailed Solution Below)

Option 1 : \(\frac 12\)
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Detailed Solution

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संकल्पना:

2sinx cos x = sin 2x

sin (90° + x) = cos x

गणना:

दिया गया है, 2 sin 75° cos 75°

= sin [2 (75°)]

= sin (150°)

= sin (90° + 60°)

= cos 60°

\(\rm \dfrac 1 2\)

अतः 2 sin 75° cos 75° का मान \(\rm \dfrac 1 2\) है। 

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