Question 891112
i believe it's going to be undefined.


this is because csc(3600) is undefined.


sec(-3600) is equal to 1.


1 + undefined is undefined.


you can solve this graphically or by formula.


the graph of csc(3600) is shown below:


<img src = "http://theo.x10hosting.com/2014/080503.jpg" alt = "$$$" </>


the graph of sec(-3600) is shown below:


<img src = "http://theo.x10hosting.com/2014/080504.jpg" alt = "$$$" </>


you can see from the graph that csc(3600) is undefined.


if one part of the answer is undefined, then the whole answer is undefined as far as i know.


by formula, you would solve for csc(3600) as follows:


360 degrees is one full cycle.


if you start at 3600 degrees and keep subtracting 360 degrees until your angle is between 0 and 360 degrees, you will find that 3600 - 10 * 360) = 3600 - 3600 = 0 degrees.


csc(0) degrees is equal to 1/sin(0) degrees is equal to 1/0 which is undefined.


sec(-3600) is analyzed as follows:


you want to keep adding 360 degrees until it turns positive.


-3600 + 10*3600 = 0 degrees.


sec(-3600) is equivalent to sec(0).


sec(0) is equal to 1 / cos(0) which is equal to 1/1 which is equal to 1.


csc(3600) = undefined.
sec(-3600) = 1
csc(3600) + sec(-3600) = undefined + 1 = undefined.


the graph confirms that to the best of my knowledge.