Answer:
Below in bold.
Step-by-step explanation:
1/(1 - sin x) + 1/(1 + sinx)
= (1 + sin x + (1 - sin x) ) / 1 - sin^2 x
= 2 / (1 - sin^2 x)
= 2 / (cos^2 x)
= 2 sec^2 x
So 2 sec x = 2 sec^2 x
sec^2 x - sec x = 0
sec x(sec x - 1) = 0
giving sec x =0 or sec x = 1.
sec x cannot be 0 so sec x = 1
this gives x = 0 , 360 degrees ( where 0 =< x <= 360)
