दिए गए व्यंजक का मान ज्ञात कीजिए।

2 + cos 49° cos 41° − sin 49° sin 41°

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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  1. 2
  2. −1
  3. 0
  4. 1

Answer (Detailed Solution Below)

Option 1 : 2
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Detailed Solution

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दिया गया है:

2 + cos 49° cos 41° − sin 49° sin 41°

प्रयुक्त अवधारणा:

यदि A +B = 90º है, तो Sin(90 - A) = Cos B और इसका विपरीत।

गणना:

2 + cos 49° cos 41° − sin 49° sin 41°

⇒ 2 + cos(90 – 41) cos41 – sin(90 – 41).sin41

⇒ 2 + sin41.cos41 – cos41.sin41

2 + 0

⇒ 2

व्यंजक का मान 2 है

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