Question

Find domain of the following function. write answer in interval notation. y=(x) / (cos x)

step by step would be much appreciated

Answer 1

the only thing you have to worry about is dividing by zero. so the question comes down to
"for which x is
\[\cos(x)=0\]

Answer 2

and the answer is,
\[\frac{\pi}{2},\frac{3\pi}{2},\frac{5\pi}{2},...\]

Answer 3

if you want a formula for an odd number times pi over 2 you cana write
\[\frac{(2k+1)\pi}{2}\] for any integer k

Answer 4

because cosx cannot equal to zero? the answer you have has dots at the end,,,,,so it never ends? so its all real numbers besides those?

Answer 5

yes all real number besides the ones i wrote
cosine is periodic and has an infinite number of zeros

Answer 6

thank you!