Question

$\huge\frac { \cos A } { 1 - \tan A } + \frac { \sin A } { 1 - \cot A } = \sin A + \cos A$

Joldi solve kro dikra (≧∇≦)​

Answer 1

Answer:

1−cotx=1−cosxsinx=sinx−cosxsinx

and, similarly,

1−tanx=cosx−sinxcosx

the left-hand side can be written

sin2xsinx−cosx+cos2xcosx−sinx

Using the common denominator sinx−cosx , we get

sin2x−cos2xsinx−cosx

and the conclusion is at one step.