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Prove that : Cos u/1+sin u=1-sin u/cos u |
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Answer» LHS: cos u/1+sin u=Dividing numerator and denominator by 1-sin u=Cos u ( 1-sin u )/1- sin²u= Cos u (1-sin u)/cos u. {Sin²u + cos²u=1}= 1-sin u/cos u = RHS I have also got the answer just multiply 1-sinu/1-sinu to the L.H.S and simplify LHS = cos u / 1+sin u = Cos u / 1+ sin u × 1-sin u / 1- sin u=Cos u (1-sin u)/1- sin2 u= Cos u - cos u sin u / 1-sin2 u= Cos u ( 1-sin u) / cos2 u=1-sin u/ cos u |
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