ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Trigonometrical Identities
Question 1
1.
    • Express
    •  
    • cos
      θ
    •  
    • in terms of
    •  
    • cosec
      θ
  •  
     
    1
     
     
    cosec
    θ
  •  
     
    √
    cosec
    2
     
    θ
    		  −  
    1
  •  
     
    1
     
     
    √
    cosec
    2
     
    θ
    		  −  
    1
  •  
     
    √
    cosec
    2
     
    θ
    		  −  
    1
     
     
    cosec
    θ
  •  
     
    cosec
    θ
     
     
    √
    cosec
    2
     
    θ
    		  −  
    1
Question 2
2.
Find the length of the side of a 14-sided regular polygon inscribed in a circle of radius 1 m
  • 0.5328 m
  • 0.3328 m
  • 0.4828 m
  • 0.4328 m
Question 3
3.
    • Given that
    • 15
      sec
      θ
      		 = 
      17
    • , find
    •  
    •  
       
      sin
      θ
  • 17
    8
  • 8
    15
  • 15
    17
  • 8
    17
  • 15
    8
Question 4
4.
    • Given
    •  
    • cot
      G
    • =
    • 15
      8
    • ,
    • find
    •  
    • cos
      G
  • 17
    8
  • 8
    15
  • 8
    17
  • 17
    15
  • 15
    17
Question 5
5.
    • Express
    •  
    • cot
      θ
    •  
    • in terms of
    •  
    • sec
      θ
  •  
     
    1
     
     
    sec
    θ
  •  
     
    1
     
     
    √
    sec
    2
     
    θ
    		  −  
    1
  •  
     
    √
    sec
    2
     
    θ
    		  −  
    1
  •  
     
    √
    sec
    2
     
    θ
    		  −  
    1
     
     
    sec
    θ
  •  
     
    sec
    θ
     
     
    √
    sec
    2
     
    θ
    		  −  
    1
Question 6
6.
    • cos
      31°
      		  −  
      sin
      59°
    • =
  • 0
  • -1
  • 2
    sin
    59°
  • 1
  • 2
    sin
    31°
Question 7
7.
    • The value of
    • tan
      245°
    • in terms of an angle between
    • 0°
    • and
    • 90°
    • is
  • tan
    65°
  •   −  
    tan
    65°
  •   −  
    cot
    65°
  • cot
    65°
Question 8
8.
    • The value of
    • sin
      336°
    • in terms of an angle between
    • 0°
    • and
    • 90°
    • is
  • cos
    66°
  •   −  
    sin
    66°
  •   −  
    cos
    66°
  • sin
    66°
Question 9
9.
    • Given A =
    • 45°
    • , B =
    • 30°
    • , find
    •  
       
      tan
      15°
  • (
    5
    −

    √

    3
    )
  • (
    2
    +

    √

    3
    )
  • (
    0
    −

    √

    3
    )
  • (
    2
    −

    √

    3
    )
  • (
    2
    −
    3
    )
Question 10
10.
    • tan
      46°
      cot
      21°
      		  −  
      cot
      44°
      tan
      69°
    • =
  • -1
  • 2
    sin
    46°
  • 2
    sin
    21°
  • 1
  • 0