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Question 1. If cosα=-22,   α∈(0,π),   then
a) cotgα=33  
b) cotgα=1  
c) cotgα=3  
d) cotgα=-1  
e) cotgα   is not defined
Question 2. Determine limn→∞3n1999+2n1998+n1997(n1000+1)2.  
a) 0  
b) 2  
c) 3  
d) 12  
e) 1  
Question 3. The maximal domain of definition of the function f(x)=log(1+tgx)   is
a) ⋃k∈ℤ(-14π+kπ,12π+kπ)  
b) ℝ-⋃k∈ℤ{-14π+kπ,12π+kπ}  
c) ⋃k∈ℤ(-12π+kπ,12π+kπ)  
d) ⋃k∈ℤ⟨-14π+kπ,12π+kπ)  
e) ⋃k∈ℤ(kπ,12π+kπ)  
Question 4. Calculate limx→+∞arctgxarccotgx,   if exists.
a) -∞  
b) does not exist
c) +∞  
d) -1  
e) 1  

Evaluate