## Trigonometry (11th Edition) Clone

The domains for $tan~x$ and $sec~x$ are all the real numbers, except those values of $x$ where $cos~x = 0$. Therefore, the domains of these two functions are the same. The domains for $cot~x$ and $csc~x$ are all the real numbers, except those values of $x$ where $sin~x = 0$. Therefore, the domains of these two functions are the same.
$tan~x = \frac{sin~x}{cos~x}$ $sec~x = \frac{1}{cos~x}$ The domains for these two functions are all the real numbers, except those values of $x$ where $cos~x = 0$. Therefore, the domains of these two functions are the same. We can construct a similar argument for the following two functions: $cot~x = \frac{cos~x}{sin~x}$ $csc~x = \frac{1}{sin~x}$ The domains for these two functions are all the real numbers, except those values of $x$ where $sin~x = 0$. Therefore, the domains of these two functions are the same.