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| 1. |
Proof that :- SinA /1+cosA + 1+cosA/sinA = 2cosecA |
| Answer» from LHS - sinA /1+ cosA + 1+ cosA / sinA = sin^2A + ( 1+cosA)^2/ (1+cosA) sinA = sin^2A +1+2cosA+ cos^2A/(1+ cos A) sinA = ( sin^2A + cos^2A) +1 +2cosA / (1+ cosA)sin A = 1+1+2cosA /(1+cosA)sinA =2+2cosA/(1+cosA)sinA = 2(1+cosA)/(1+cosA)sinA =2/sinA =2* 1/sinA =2cosecA HENCE PROVED. | |