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CBSE Class 11-science Answered

Prove cot(A+B)=(cotA.cotB-1)/cotB+cotA
Asked by Sunita | 16 Apr, 2019, 10:52: PM
answered-by-expert Expert Answer
begin mathsize 16px style cot left parenthesis straight A plus straight B right parenthesis
equals fraction numerator cos left parenthesis straight A plus straight B right parenthesis over denominator sin left parenthesis straight A plus straight B right parenthesis end fraction
equals fraction numerator cosAcosB minus sinAsinB over denominator sinAcosB plus cosAsinB end fraction
equals fraction numerator begin display style cosAcosB over sinAsinB end style minus begin display style sinAsinB over sinAsinB end style over denominator begin display style sinAcosB over sinAsinB end style plus begin display style cosAsinB over sinAsinB end style end fraction
equals fraction numerator cotAcotB minus 1 over denominator cotB plus cotA end fraction
cot left parenthesis straight A plus straight B right parenthesis equals fraction numerator cotAcotB minus 1 over denominator cotB plus cotA end fraction end style
Answered by Sneha shidid | 17 Apr, 2019, 09:22: AM
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