ICSE Board Practice

ICSE Grade IX - Trigonometrical Ratios
Question 1
1.
    • Given that
    • 5
      cosec
      θ
       = 
      13
    • , find
    •  
    •  
       
      sec
      θ
  • 12

    5
  • 5

    12
  • 5

    13
  • 13

    12
  • 12

    13
Question 2
2.
In the given figure, △FGH is right angled at G. If GH = 12 cm and ∠H = 60°, find FG and FH
      • 12



        3
        cm
      • &
      • 24
        cm
      • 12
        4


        3
        cm
      • &
      • 26
        cm
      • 12
        4


        1

        3
        cm
      • &
      • 26
        cm
      • 12
        4


        3
        cm
      • &
      • 23
        cm
      • 12
        4


        3
        cm
      • &
      • 24
        cm
Question 3
3.
    • cot
      B
    • =
  •  
     
    1

     
     
    sec
    B
  •  
     
    1

     
     
    tan
    B
  •  
     
    1

     
     
    cosec
    B
  •  
     
    1

     
     
    cos
    B
  •  
     
    1

     
     
    sin
    B
Question 4
4.
    • In the given figure, if
    •  
    • FH
    • GH
    • =
    • 2 cm
    • ,
    • and
    • FG = 10 cm
    • ,
    • find
    • cos
      F
  • 1

    3
  • 5

    11
  • 5

    13
  • 7

    13
  • 3

    13
Question 5
5.
Which of the following are true?
a)
    • cos
      (
      90
         
      θ
      )
    • =
    •    
      cos
      θ
b)
    • tan
      (
      90
         
      θ
      )
    • =
    • cot
      θ
c)
    • cos
      (
      90
         
      θ
      )
    • =
    • sin
      θ
d)
    • cot
      (
      90
         
      θ
      )
    • =
    • tan
      θ
e)
    • sin
      (
      90
         
      θ
      )
    • =
    • cos
      θ
f)
    • sin
      (
      90
         
      θ
      )
    • =
    •    
      sin
      θ
  • {a,b}
  • {a,f,d}
  • {f,c}
  • {a,e,b}
  • {b,c,d,e}
Question 6
6.
    • Given
    •  
    • sin
      A
    • =
    • 1

      3
    • ,
    • find
    •  
    • cosec
      A
  • 2

    3



    2
  • 3
  • 3

    4



    2
  • 1

    4



    2
  • 2



    2
Question 7
7.
    • In
    • △PQR
    • , right angled at
    • Q
    • ,
    • if
    • PQ = 24 cm
    • and
    • QR = 10 cm
    • ,
    • find
    • cosec
      R
  • 13

    14
  • 13

    10
  • 13

    12
  • 11

    12
  • 5

    4
Question 8
8.
    • Given
    •  
    • cos
      F
    • =
    • 3

      5
    • ,
    • find
    •  
    • cosec
      F
  • 3

    4
  • 5

    3
  • 4

    5
  • 4

    3
  • 5

    4
Question 9
9.
    • A
    • radio tower
    • stands vertically on the ground.
    • From a point on the ground,
    • the angle of elevation
    • of the top of the
    • radio tower
    • is found to be
    • 30°
    • .
    • If the height of the
    • radio tower
    • is
    • 200 m
    • ,
    • find the distance between
    • the observation point and the top of the
    • radio tower
    • .
  • 401
    m
  • 397
    m
  • 403
    m
  • 400
    m
  • 399
    m
Question 10
10.
    • From the given figure,
    • find
    •  
    • cos
      (
      90
         
      C
      )
  • AB

    BC
  • BC

    AB
  • BC

    AC
  • AB

    AC
  • AC

    BC