Well that depends on the six trig functions.
First, Domain is the set of x-values. To find it, think of the left most value traveling to the right most value. Range is the set of the y-values. So, you look bottom to top.
Next, sine and cosine follow similar graphs. If you think about it, you can take sine and cosine of any angle, from negative infinity to negative infinity. Thus, the Domain = # [-oo , oo] # or #RR#. As you calculate the sine and cosine of each number, you will see that all values are between -1 and 1. Thus, the Range = #[-1, 1]#.
Since tangent is the ratio of sine to cosine, you have to be careful. As mentioned before, cosine can be 0, but you cannot divide by 0. So, there will be times when the tangent function is undefined, thus the domain is affected. Thus, the Domain = #RR#, except when #x = n pi (n in NN)#. Luckily, the Range is easier. Range = #RR#.
Now, to find secant (sec), try graphing #1/cos x#. You can do this on a graphing calculator, using Zoom Trig.
For cosecant (csc), graph #1/sin x#.
For cotangent (cot), graph #1/tan x#.
I hope this helps.