cos2 35° + cos 55°. sin 35° +  =            ;

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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Answer (Detailed Solution Below)

Option 1 : 2
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SSC CGL Tier 1 2025 Full Test - 01
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दिया गया है:

cos2 35° + cos 55°. sin 35° +  =            ;

प्रयुक्त अवधारणा:

1. sin θ = cos (90° - θ)

2. tan θ = cot (90° - θ)

3. sin2 θ + cos2 θ = 1

गणना: 

cos2 35° + cos 55°. sin 35° + 

⇒ cos2 35° + cos (90 - 35)°. sin 35° + 

⇒ cos2 35° + sin 35°. sin 35° + 

⇒ cos2 35° + sin2 35° + 1

⇒ 1 + 1 = 2

सरलीकृत मान 2 है।

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