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Mathematics

(1 + sin A)(1 - sin A) is equal to :

  1. cosec2 A

  2. sin2 A

  3. sec2 A

  4. cos2 A

Trigonometric Identities

ICSE 2023

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Answer

Solving,

⇒ (1 + sin A)(1 - sin A)

⇒ 1 - sin A + sin A - sin2 A

⇒ 1 - sin2 A

⇒ cos2 A.

Hence, Option 4 is the correct option.

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