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Mathematics

(cos θ + sin θ)² + (cos θ - sin θ)² is equal to
-2
0
1
2

Trigonometric Identities

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Answer

Given, (cos θ + sin θ)² + (cos θ - sin θ)²

On solving,

⇒ cos² θ + sin² θ + 2cos θ sin θ + cos² θ + sin² θ - 2cos θ sin θ
⇒ 2(cos² θ + sin² θ)
⇒ 2.

Hence, Option 4 is the correct option.

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