prove that coso/1-sino=1+sino/coso
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The given statement is proved in the uploaded photo
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cos x/1 -sin x=1 + sinx /cos x
multiplying numerator and denominator by (1+-sin x)/(1+sinx) we get
LHS = cosx(1+-sin x)/(1-sinx)(1+-sin x)
On using the identity
LHS = cosx(1+sinx)/1 -sin^2 x
= cosx(1+sinx)/cos^2 x
=(1+ sinx)/cos x
hence LHS= RHS
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