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CBSE Class 10 Answered

If cosA-sinA=root 2sinA  Prove that cos A +sinA=root 2 cosA
Asked by Kumarashish6345 | 21 Feb, 2019, 08:03: AM
answered-by-expert Expert Answer
cosA - sinA = √2 sinA
cosA = √2 sinA + sinA
cosA = sinA(√2 + 1)
begin mathsize 16px style sinA over cosA equals fraction numerator 1 over denominator square root of 2 begin display style plus end style begin display style 1 end style end fraction fraction numerator begin display style sinA end style over denominator begin display style cosA end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style square root of 2 plus 1 end style end fraction cross times fraction numerator square root of 2 minus 1 over denominator square root of 2 minus 1 end fraction fraction numerator begin display style sinA end style over denominator begin display style cosA end style end fraction equals fraction numerator square root of 2 minus 1 over denominator 2 minus 1 end fraction fraction numerator begin display style sinA end style over denominator begin display style cosA end style end fraction equals square root of 2 minus 1 sinA equals square root of 2 cosA minus cosA sinA plus cosA equals square root of 2 cosA end style
Answered by Sneha shidid | 21 Feb, 2019, 09:40: AM

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