Question

prove that coso/1-sino=1+sino/coso​

Answer 1

Answer:

The given statement is proved in the uploaded photo

Answer 2

Answer:

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

$(x - y )( x + y )= {x }^{2} - {y}^{2}$

LHS = cosx(1+sinx)/1 -sin^2 x

= cosx(1+sinx)/cos^2 x

=(1+ sinx)/cos x

hence LHS= RHS