root 3 tan A= 3sin A then evaluate sin(sqr)A-cos(sqr)A

Asked by Malavika Raj | 28th Jul, 2014, 02:58: PM

Expert Answer:

square root of 3 space tan space A end root equals 3 space S i n space A 3 space tan space A space equals space 9 space S i n squared space A tan space A space equals space 3 space S i n squared space A fraction numerator S i n space A over denominator C o s space A end fraction equals 3 space S i n squared space A S i n space A open parentheses 3 space S i n space A space C os space A space minus space 1 close parentheses equals 0 S i n space A space equals space 0 space o r space 3 over 2 S i n space 2 A equals 1 rightwards double arrow S i n space 2 A equals 2 over 3 C a s e : 1 comma space I f space S i n space A space equals space 0 space t h e n space space sin squared space A minus cos squared space A space equals space minus 1 C a s e : 2 comma space I f space S i n space 2 A space equals space 2 over 3 space rightwards double arrow C o s space 2 A equals fraction numerator square root of 5 over denominator 3 end fraction t h e n space space sin squared space A minus cos squared space A equals minus cos space 2 A equals fraction numerator minus square root of 5 over denominator 3 end fraction

Answered by Dharma Teja | 28th Jul, 2014, 06:37: PM

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