Find the value of (sinθ + cosθ)2 + (sinθ - cosθ)2.
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 2.
The value of (sinθ + cosθ)2 + (sinθ - cosθ)2
⇒ (sinθ + cosθ)2 + (sinθ - cosθ)2
⇒ sin2θ + cos2θ + 2 sinθ cosθ + sin2θ + cos2θ - 2 sinθ cosθ
⇒ 2 (sin2θ + cos2θ)
⇒ 2 × 1
⇒ 2