sin260° + cos230° - sin245° - 3sin290° का मान ज्ञात कीजिये

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SSC CGL 2020 Tier-I Official Paper 20 (Held On : 24 Aug 2021 Shift 2)
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  1. \(\frac{1}{3}\)
  2. \(-1\frac{3}{4}\)
  3. \(-2 \frac{1}{2}\)
  4. -2

Answer (Detailed Solution Below)

Option 4 : -2
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दिया गया है:

sin260° + cos230° - sin245° - 3sin290°

प्रयुक्त अवधारणा:

Trigo

गणना:

sin260° + cos230° - sin245° - 3sin290°

⇒ (√3/2)2 + (√3/2)2 - (1/√2)2 - {3 × (1)2}

⇒ 3/4 + 3/4 - 1/2 - 3

⇒ 3/2 - 1/2 - 3

⇒ (-2)

∴ sin260° + cos230° - sin245° - 3sin290° का अभीष्ट मान (-2) है

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