G i v e n space t h a t space square root of 2 sin space A equals sin space B minus sin cubed B space a n d space square root of 2 cos space A equals cos space B plus cos cubed B comma space t h e n space f i n d space t h e space v a l u e space o f space sin left parenthesis A minus B right parenthesis.

Asked by Rohan Rawal | 27th Aug, 2014, 02:53: PM

Expert Answer:

G i v e n space square root of 2 S i n space A equals S i n space B space minus space S i n cubed space B space.... space 1 square root of 2 space C o s space A equals C o s space B space plus thin space C o s cubed space B space.....2  M u l t i p l y space 1 space b y space C o s space B space o n space b o t h space s i d e s comma space w e space g e t square root of 2 space S i n space A space C o s space B space equals space S i n B space C o s space B space open parentheses 1 minus space S i n squared space B close parentheses  S i n space A space C o s space B equals space fraction numerator S i n B space C o s cubed space B space over denominator square root of 2 end fraction  S i m i l a r l y space m u l t i p l y space 2 space b y space S i n space B space o n space b o t h space s i d e s comma space w e space g e t square root of 2 C o s space A space S i n space B equals S i n B space C o s space B open parentheses 1 plus cos squared space B close parentheses  C o s space A space S i n space B equals fraction numerator S i n B space C o s space B open parentheses 1 plus cos squared space B close parentheses over denominator square root of 2 end fraction  S i n space left parenthesis A minus B right parenthesis equals S i n space A space C o s space B space minus space C o s space A space S i n space B equals fraction numerator S i n B space C o s cubed space B space over denominator square root of 2 end fraction minus fraction numerator S i n B space C o s space B open parentheses 1 plus cos squared space B close parentheses over denominator square root of 2 end fraction S i n space left parenthesis A minus B right parenthesis equals fraction numerator minus S i n B space C o s space B over denominator square root of 2 end fraction equals fraction numerator minus S i n space 2 B over denominator 2 square root of 2 end fraction

Answered by Dharma Teja | 27th Aug, 2014, 05:43: PM

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