Question

SOLVE THIS
VERY IMPORTANT QUESTION​

Answer 1

Explanation:

`(Cos \ A)/(1 + Sin \ A)=(Cos \ A *(1-Sin \ A))/((1+Sin \ A)(1 - Sin \ A))\\\\\\=(Cos \ A *(1 - Sin \ A))/(1^(2)-Sin^(2) \ A)\\\\\\=(Cos \ A *(1 - Sin \ A))/(Cos^(2) \ A)\\\\\\=(1-Sin \ A)/(Cos \ A)`------(I)

`LHS =(Cos \ A)/(1+Sin \ A)+(1+Sin \ A)/(Cos \ A)\\\\\\ = (1-Sin \A)/(Cos \ A)+(1+Sin \ A)/(Cos \ A) \ [from \ equation \ (I)]\\\\\\=(1-Sin \ A + 1 - Sin \ A)/(Cos \ A)\\\\=(2)/(Cos \ A)\\\\\\=2*Sec \ A = RHS`