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On all real numbers, (aRb) if and only if (\sin^2 a=\sin^2 b). Which of the following numbers belongs to the equivalence class of (0)?

Answer and explanation

Correct answer: (\pi)

Step 1: (\sin^2 0=0). Step 2: (\sin^2 \pi=0), so (\pi) is in the same class as (0). Step 3: The class contains angles whose squared sine value is (0).

Related tags

Trigonometric RelationSine SquareEquivalence ClassReal NumbersEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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