3 Group 11     back   next question   back to list

Question 1. If sinα=12,   α∈(12π,32π),   then cos2α   is equal to
a) -12  
b) 32  
c) 0  
d) -32  
e) 12  
Question 2. Compute limx→-∞x9x2+1+3.  
a) 13  
b) 0  
c) 16  
d) -13  
e) -16  
Question 3. The maximal domain of definition of the function f(x)=log(1-cosx)   is
a) ℝ-⋃k∈ℤ{2kπ}  
b) ℝ-⋃k∈ℤ{(2k+1)π}  
c) ℝ-⋃k∈ℤ{kπ2}  
d) ℝ-⋃k∈ℤ{32π+2kπ}  
e) ℝ  
Question 4. Calculate limx→+∞tg(π-arctgx),   if exists.
a) does not exist
b) 1  
c) 0  
d) -∞  
e) +∞  

Evaluate