ICSE Board Practice

ICSE Grade IX - Trigonometrical Ratios
Question 1
1.
Which of the following are true?
a)
tan
 = 
1
b)
sin
45°
 = 
1
c)
cos
45°
 = 
1
d)
tan
90°
 = 
1
e)
cos
90°
 = 
1
f)
sin
90°
 = 
1
g)
sin
 = 
1
h)
cos
 = 
1
  • {e,h,f}
  • {c,d,f}
  • {b,h}
  • {f,h}
  • {a,f}
Question 2
2.
    • Given
    •  
    • tan
      A
    • =
    • 3

      4
    • ,
    • find
    •  
    • cos
      A
  • 3

    5
  • 5

    4
  • 4

    5
  • 5

    3
  • 4

    3
Question 3
3.
Find the area of an isosceles triangle with base 8 cm and vertical angle 30°
  • 58.7238 cm
  • 59.7238 cm
  • 61.7238 cm
  • 60.7238 cm
Question 4
4.
    • cosec
      45°
    • =



  • 2
  • 2



  • 4
  • 4


    2



  • 1

    2
Question 5
5.
    • sin
      54°
    • =
  •  
     
    sin
    36°
    cos
    18°
      +  
    cos
    36°
    sin
    18°
  •  
     
    cos
    36°
    cos
    18°
       
    sin
    36°
    sin
    18°
  •  
     
    sin
    36°
    cos
    18°
       
    cos
    36°
    sin
    18°
  •  
     
    cos
    36°
    cos
    18°
      +  
    sin
    36°
    sin
    18°
Question 6
6.
    • In the given figure, if
    •  
    • IK
    • JK
    • =
    • 2 cm
    • ,
    • and
    • IJ = 6 cm
    • ,
    • find
    • sin
      I
  • 4

    7
  • 4

    5
  • 4

    3
  • 6

    5
  • 2

    5
Question 7
7.
    • sin
    • =
  • 0
  • (
    1
    )
  • 2
  • 1
  • (
    3
    )
Question 8
8.
Find the length of the chord of the unit circle subtending an angle of 140° at the centre
  • 1.7794
  • 1.9794
  • 1.9294
  • 1.8794
Question 9
9.
A chord of 17 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre
  • 7.5 cm
  • 10.5 cm
  • 6.5 cm
  • 8.5 cm
  • 9.5 cm
Question 10
10.
In the given figure, △FHG is right angled at G. If FG = 16 cm and ∠H = 45°, find FH
  • 16



    2
    cm
  • 16
    cm
  • 8



    12
    cm
  • 32
    cm
  • 32



    3
    cm