Trigonometry help.?

Question

I need help with a few problems that i'm totally lost on. I have to find the exact value WITHOUT the use of a calculator. These problems are from my text book. They're for review, not a grade. 

1. Sin ((11pi)/2) 
2.Cos (7pi) 
3.Tan (6pi) 
4.Cot ((7pi)/2) 
5.Csc ((11pi)/2) 
6 Sec (8pi) 

7. Sin45Degree + Cos60Degree

Answer 1

(1).

The solution is - 1.

Answer 2

(2).

The solution is - 1.

 

Answer 3

(3).

The solution is 0.

 

Answer 4

(5).

The solution is - 1.

Answer 5

(6).

The solution is - 1.

 

Answer 6

(7).

The solution as shown below.

Answer 7

(4).

The solution is 0.