Question

cosA/1-sinA=1+sinA/cosA​

Answer 1

Question :

Prove that : cosA/1-sinA=1+sinA/cosA

Solution :

LHS :

$》 \frac{ cos \: A }{1 - sin \: A} \\ on \: rationalising - \\》 \: \frac{cos \: A \: (1 + sin \: A)}{ 1 - {sin}^{2}A } \\ 》\frac{cos \: A \: (1 + sin \: A)}{ {cos}^{2} \: A } \\ this \: gives : \\》 \frac{1 + sin \: A}{cos \: A}$

So , LHS = RHS

Hence proved .