cosec A+cot A/cosec A-cot A=(cosec A+cot A^2

 

Asked by haraulakh1999 | 21st Jul, 2019, 09:40: AM

Expert Answer:

begin mathsize 16px style fraction numerator cosecA plus cotA over denominator cosecA minus cotA end fraction end style
begin mathsize 16px style equals fraction numerator cosecA plus cotA over denominator cosecA minus cotA end fraction cross times fraction numerator cosecA plus cotA over denominator cosecA plus cotA end fraction end style
begin mathsize 16px style equals fraction numerator open parentheses cosecA plus cotA close parentheses squared over denominator cosec squared straight A minus cot squared straight A end fraction end style
begin mathsize 16px style equals open parentheses cosecA plus cotA close parentheses squared space space space space space space space space space space space space space space space space space space space because cosec squared straight A minus cot squared straight A equals 1 end style
begin mathsize 16px style fraction numerator cosecA plus cotA over denominator cosecA minus cotA end fraction equals open parentheses cosecA plus cotA close parentheses squared end style

Answered by Sneha shidid | 22nd Jul, 2019, 09:37: AM