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Proof that :- SinA /1+cosA + …

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Proof that :- SinA /1+cosA + 1+cosA/sinA = 2cosecA

Posted by Eshnoor ???? 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Manas Mishra 5 years, 8 months ago

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.

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