Find the value of (sin θ + cos θ)2 + (sin θ - cos θ)2.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. 4
  2. 0
  3. 2
  4. 1

Answer (Detailed Solution Below)

Option 3 : 2
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Detailed Solution

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Formula Used : 

Sin2θ + Cos2θ = 1

Calculation : 

⇒ (sin θ + cos θ)2 + (sin θ - cos θ)2

⇒ sin2θ + cos2θ + 2sinθcosθ + sin2θ + cos2θ - 2sinθcosθ 

⇒ 2(sin2θ + cos2θ)

⇒ 2

∴ The correct answer is 2.

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