Question

To prove that
$\frac{cos \: a}{1 - sin \: a} = \frac{sin \: a \: + 1}{cos \: a}$
​

Answer 1

Answer:

Step-by-step explanation:

(cos α)/(1 - sin α) = (sin α +1)/cos α;

(cos α) * (cos α) = (1 + sin α) * (1 - sin α);

cos² α =  1 - sin² α;                             (since, (a +b)(a-b) = a^2 - b^2)

cos² α = cos² α                             (since,  cos² α = 1 - sin² α, identity)

That's all.