SSC Board Practice

SSC Grade X - Trigonometry
Question 1
1.
    • Given
    •  
    • cos
      G
    • =
    • 12

      13
    • ,
    • find
    •  
    • cot
      G
  • 13

    12
  • 12

    5
  • 5

    12
  • 13

    5
  • 5

    13
Question 2
2.
    • Given
    •  
    • cos
      P
    • =
    • 2

      9



      14
    • ,
    • find
    •  
    • cot
      P
  • 5

    28



    14
  • 9

    5
  • 5

    9
  • 9

    28



    14
  • 2

    5



    14
Question 3
3.
For angle values from 0° to 90°, which of the following are true?
a)
The sine value of the angle increases
b)
The sum of the squares of the sine and cosine values remains a constant
c)
The cosine value of the angle increases
d)
The cotangent value of the angle increases
e)
The tangent value of the angle increases
f)
The product of the sine and cosine values remains a constant
  • {d,b}
  • {a,b,e}
  • {c,a}
  • {f,c,e}
  • {d,a,b}
Question 4
4.
    • Given
    •  
    • cosec
      K
    • =
    • 5

      3
    • ,
    • find
    •  
    • cot
      K
  • 4

    3
  • 3

    4
  • 4

    5
  • 5

    4
  • 3

    5
Question 5
5.
    • Given
    •  
    • tan
      B
    • =
    • 8

      15
    • ,
    • find
    •  
    • cot
      B
  • 17

    8
  • 15

    17
  • 15

    8
  • 17

    15
  • 8

    17
Question 6
6.
In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find GH
  • 12



    2
    cm
  • 8
    cm
  • 8



    18
    cm
  • 24
    cm
  • 8



    3
    cm
Question 7
7.
    • If
    •  
    • tan
      θ
         
      cot
      θ
       = 
      6
    •  
    • , find
    •  
       
      tan
      2
       
      θ
        +  
       
       
      cot
      2
       
      θ
  • 35
  • 40
  • 39
  • 38
  • 37
Question 8
8.
    • cos
      45°
      sin
      cot
      90°
        +  
      sin
      60°
      sin
      45°
      cos
      90°

      tan
      45°
      cosec
      30°
         
      sec
      sin
      60°
    • =
  • 1
  • (
    2
    )
  • 3
  • (
    1
    )
  • 0
Question 9
9.
    • tan
      28°

      cot
      62°
    • =
  • 1
  • tan
    28°
  • -1
  • 0
  • tan
    62°
Question 10
10.
    • Express
    •  
    • tan
      65°
    •  
    • in terms of
    •  
    • cosec
      65°
  •  
     
    cosec
    65°

     
     

    cosec
    2
     
    65°
       
    1
  •  
     

    cosec
    2
     
    65°
       
    1
  •  
     
    1

     
     
    cosec
    65°
  •  
     
    1

     
     

    cosec
    2
     
    65°
       
    1
  •  
     

    cosec
    2
     
    65°
       
    1

     
     
    cosec
    65°