1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
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CLASS
XI
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Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Solution of Trigonometric Functions No 1
Q1: Factorize 2
cos sin 1x x 
A)  sin sin 1 0x x   B)  sin cos 1 0x x  
C)  sin sin 1 0x x   D)  sin cos 1 0x  
Q2: Find the solution set of sin 0x 
A)  n B)
2
n

 
 
 
C)
3
2
n

 
 
 
D)   2 1n 
Q3: Find the solution set of sin 1 0x  
A) 2
4
n


 
 
 
B)
3
n


 
 
 
C)  n D) 2
2
n


 
 
 
Q4: Find the solution set of cos 0x 
A) 2
4
n


 
 
 
B)
2
n


 
 
 
C)  n D)  2n
Q5: Find the solution set of
1
cos 0
2
x  
A)
2 4
2 2
3 3
n n
 
 
   
     
   
B)
4
2 2
3 3
n n
 
 
   
     
   
C)
2 3
2 2
3 2
n n
 
 
   
     
   
D)
2 4
3 3
n n
 
 
   
     
   
Q6: Find the solution set of
3
sin
2
x   in  0,2
A)
4 5
,
3 3
  
 
 
B)
3 3
,
4 5
  
 
 
C)
4
,
3 3
  
 
 
D)
2
,
3


 
 
 
Q7: Find the solution set of csc 2x  in  0,2
A)
4 7
,
6 6
  
 
 
B)
5
,
3 3
  
 
 
C)
5
,
6 6
  
 
 
D)
5 2
,
6 5
  
 
 
Q8: Find the solution set of
1
cot
3
x  in  0,2
A)
2 5
,
3 3
  
 
 
B)
2
,
3 3
  
 
 
C)
2 4
,
3 3
  
 
 
D)
4
,
3 3
  
 
 
Q9: What is the period of sin x in order to find the solution
set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q10: What is the period of cos x in order to find the solution
set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2


2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: What is the period of sec x in order to find the solution
set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q12: What is the period of csc x in order to find the solution
set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q13: What is the period of tan x in order to find the solution
set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q14: What is the period of cot x in order to find the solution
set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q15: What is the period of sin2x in order to find the
solution set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q16: What is the period of cos2x in order to find the
solution set of any trigonometric equation?
A)  B) 2 C)
2

D)
3
2

Q17: What is the period of sin3x in order to find the
solution set of any trigonometric equation?
A)  B) 2 C)
2
3

D)
3
2

Q18: What is the period of cos3x in order to find the
solution set of any trigonometric equation?
A)  B) 2 C)
2
2

D)
3
2

Q19: How many roots does
1
sin
2
x  have in the interval
 0,2 ?
A) 1 B) 2 C) 3 D) 4
Q20: Find the solution set of
1
sin
2
x  in the interval
 0,2 ?
A)
5
,
6 6
  
 
 
B)
2
,
3 3
  
 
 
C)
11
,
6 6
  
 
 
D)
17
,
6 6
  
 
 
Answer Key
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