IF

Question

Accepted Answer

G i v e n space t h a t space square root of 3 tan A equals 3 sin A rightwards double arrow fraction numerator square root of 3 sin A over denominator 3 cos A end fraction equals sin A rightwards double arrow fraction numerator 1 over denominator square root of 3 end fraction equals cos A rightwards double arrow square root of 1 minus open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared end root equals sin A rightwards double arrow square root of 1 minus 1 third end root equals s i n A rightwards double arrow square root of fraction numerator 3 minus 1 over denominator 3 end fraction end root equals s i n A rightwards double arrow square root of 2 over 3 end root equals s i n A T h u s comma space sin squared A minus cos squared A equals open parentheses square root of 2 over 3 end root close parentheses squared minus open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses equals 2 over 3 minus 1 third equals 1 third

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