Find the domain of the function fx cos x 1 sin x Walk me

Find the domain of the function.

f(x) = cos x / 1 - sin x

Walk me through this problem, I forget how these work.

Solution

f(x) = cos x /(1 - sin x)

function is undefined when denominator =0

(1 - sin x)0

sinx1

x2n +(/2)

domain is x =(-,)-{2n +(/2)}

in the interval (0,2), domain is (0,/2)U(/2,2)