cos 24° + cos 55° + cos 125° + cos 204° + cos 300° = ?

  1. \(\frac{1}{2}\)
  2. \(\frac{3}{2}\)
  3. 3
  4. 0

Answer (Detailed Solution Below)

Option 1 : \(\frac{1}{2}\)
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Detailed Solution

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కాన్సెప్ట్:

cos (180° + x) = -cos x

cos (180° - x) = -cos x

cos (360° - x) = cos x

సాధన:

cos 24° + cos 55° + cos 125° + cos 204° + cos 300°

= cos 24° + cos 55° + cos (180° – 55°) + cos (180° + 24°) + cos (360° - 60°)

= cos 24° + cos 55° - cos 55° - cos 24° + cos 60°

= cos 60°

= 1/2
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