CBSE BOARD X, asked by Parthika, 1 year ago

Prove that:
(1+cosA+tanA) (sinA-cosA)=sinA tanA-cotA cosA

Answers

Answered by dhruvsh
1
sorry to tell you but you have incorrectly written cosA in place of cotA.

[ 1+ cotA+ tanA ] [ sinA - cosA]
LHS
= sinA + sinAcotA + sinAtanA - cosA - cosAcotA - tanAcosA
= sinA + sinA * cosA/sinA + sinAtanA - cosA - cosAcotA - cosA * sinA/cosA
= sinA + cosA + sinAtanA - cosA - cosAcotA - sinA
= sinAtanA - cosAcotA
= RHS

LHS = RHS 
hence proved and hope this helps..

Parthika: No but there is cosA
dhruvsh: then it'snot possible
Parthika: Ok
Parthika: Thanks
dhruvsh: or there might be some prinitng mistake
dhruvsh: yaa no problem
Parthika: Yes
Similar questions