sec θ + cos θ = 32 అయితే, sec2 θ+ cos2 θ  ______.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 4)
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  1. 1000
  2. 1022
  3. 1024
  4. 1020

Answer (Detailed Solution Below)

Option 2 : 1022
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 ఉపయోగించబడిన సూత్రం

(a + b) 2 = a 2 + b 2 + 2ab

గణన

sec θ + cos θ = 32

రెండు వైపులా వర్గం చేయగా:

(sec θ + cos θ)2 = sec2 θ+ cos2 θ + 2 sec θ cos θ

⇒ 1024 - 2 = sec2 θ+ cos2 θ 

⇒ sec2 θ+ cos2 θ = 1022

విలువ 1022.

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