IF square root of 3 space tan A equals space 3 space sin A space e v a l u a t e space sin squared A minus cos squared A

Asked by araima2001 | 15th Sep, 2015, 11:49: AM

Expert 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

Answered by Vimala Ramamurthy | 16th Sep, 2015, 10:35: AM

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