EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • In
    •  
    • △DEF
    • , right angled at
    •  
    • E
    • ,
    • if
    •  
    • tan
      D
    • =
    • 1

      5
    •  
    • ,
    • find
    •  
    • sin
      D
      cos
      F
        +  
      cos
      D
      sin
      F
  • (i)
    5

    26



    26
  • (ii)
    1
  • (iii)
    1

    26



    26
  • (iv)



    26
  • (v)
    1

    5



    26
Question 2
2.
    • In
    •  
    • △MNO
    • , right angled at
    •  
    • N
    • ,
    • if
    •  
    • tan
      M
    • =
    • 3

      8
    •  
    • ,
    • find
    •  
    • cos
      M
      cos
      O
         
      sin
      M
      sin
      O
  • (i)
    3

    73



    73
  • (ii)
    1

    3



    73
  • (iii)
    8

    73



    73
  • (iv)
    0
  • (v)
    1

    8



    73
Question 3
3.
Find the length of the side of a 9-sided regular polygon inscribed in a circle of radius 1 m
  • (i)
    0.7840 m
  • (ii)
    0.6840 m
  • (iii)
    0.7340 m
  • (iv)
    0.5840 m
Question 4
4.
Find the length of the chord of the unit circle subtending an angle of 120° at the centre
  • (i)
    1.6320
  • (ii)
    1.7320
  • (iii)
    1.8320
  • (iv)
    1.7820
Question 5
5.
Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle being 58°
  • (i)
    5.5971 cm
  • (ii)
    4.5971 cm
  • (iii)
    6.5971 cm
  • (iv)
    7.5971 cm
Question 6
6.
Find the area of an isosceles triangle with base 8 cm and vertical angle 48°
  • (i)
    36.9389 cm
  • (ii)
    34.9389 cm
  • (iii)
    37.9389 cm
  • (iv)
    35.9389 cm
Question 7
7.
    • If
    • P
    • ,
    • Q
    •  
    • and
    •  
    • R
    • are the interior angles of a triangle, then
    •  
    • sin
      (
      P + Q

      2
      )
    •  
    • =
  • (i)
    sin
    (
    P

    2
    )
  • (ii)
    cos
    (
    R

    2
    )
  • (iii)
    sin
    R
  • (iv)
    sin
    (
    R

    2
    )
  • (v)
    cos
    (
    P

    2
    )
    Assignment Key

  •  1) (ii)
  •  2) (iv)
  •  3) (ii)
  •  4) (ii)
  •  5) (i)
  •  6) (iv)
  •  7) (ii)