CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Introduction to Trigonometry
Question 1
1.
    • Given
    •  
    • cosec
      G
    • =
    • 5
      4
    • ,
    • find
    •  
    • cos
      G
  • 3
    5
  • 5
    3
  • 3
    4
  • 4
    3
  • 4
    5
Question 2
2.
    • In the given figure, if
    •  
    • JL
    • −
    • KL
    • =
    • 2 cm
    • ,
    • and
    • JK = 8 cm
    • ,
    • find
    • tan
      J
  • 15
    8
  • 5
    2
  • 13
    8
  • 17
    8
  • 3
    2
Question 3
3.
Which of the following are true?
a)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      tan
      θ
b)
    • sec
      (
      90
      		  −  
      θ
      )
    • =
    • cosec
      θ
c)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
d)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
e)
    • cosec
      (
      90
      		  −  
      θ
      )
    • =
    • sec
      θ
f)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
  • {a,b}
  • {f,a,e}
  • {b,d,e}
  • {c,d}
  • {c,b,d}
Question 4
4.
    • Given
    •  
    • sec
      N
    • =
    • 3
      5

      √

      5
    • ,
    • find
    •  
    • cot
      N
  • 1
    2

    √

    5
  • 2
    3
  • 3
    2
  • 1
    3

    √

    5
  • 2
    5

    √

    5
Question 5
5.
For angle values from 0° to 90°, which of the following are true?
a)
The sum of the squares of the sine and cosine values remains a constant
b)
The sine value of the angle increases
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
  • {c,a}
  • {d,b}
  • {a,b,e}
  • {d,a,b}
  • {f,c,e}
Question 6
6.
    • Given that
    • 5
      cos
      θ
      		 = 
      4
    • , find
    •  
    •  
       
      sec
      θ
  • 3
    5
  • 3
    4
  • 5
    3
  • 4
    3
  • 5
    4
Question 7
7.
    • Given
    •  
    • cos
      P
    • =
    • 2
      5

      √

      6
    • ,
    • find
    •  
    • cosec
      P
  • 5
    12

    √

    6
  • 5
  • 2

    √

    6
  • 1
    5
  • 1
    12

    √

    6
Question 8
8.
    • Given
    •  
    • cot
      M
    • =
    • 3
      4
    • ,
    • find
    •  
    • cos
      M
  • 4
    3
  • 5
    3
  • 4
    5
  • 3
    5
  • 5
    4
Question 9
9.
    • tan
      60°
    • =
  • 4
    √

    3
  • 1

  • √

    6
  • 3

  • √

    3
Question 10
10.
    • sin
      K
    • =
  •  
     
    1
     
     
    tan
    K
  •  
     
    1
     
     
    cot
    K
  •  
     
    1
     
     
    sec
    K
  •  
     
    1
     
     
    cos
    K
  •  
     
    1
     
     
    cosec
    K