EduSahara™ Assignment
Name : Trigonometric Ratios of Complementary Angles
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
Which of the following are true?
a)
sin
49°
 = 
cos
49°
b)
sin
50°
 = 
cos
40°
c)
cos
58°
 = 
sin
58°
d)
sin
24°
 = 
cos
66°
e)
sin
46°
 = 
cos
44°
f)
sec
47°
 = 
cosec
43°
g)
tan
56°
 = 
cot
34°
  • (i)
    {b,d,e,f,g}
  • (ii)
    {c,d}
  • (iii)
    {a,c,e}
  • (iv)
    {a,f,g}
  • (v)
    {a,b}
Question 2
2.
Which of the following are true?
a)
    • sec
      (
      90
      		  −  
      θ
      )
    • =
    • cosec
      θ
b)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
c)
    • cosec
      (
      90
      		  −  
      θ
      )
    • =
    • sec
      θ
d)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      tan
      θ
e)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
f)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
  • (i)
    {a,c,e}
  • (ii)
    {f,b,e}
  • (iii)
    {d,c}
  • (iv)
    {d,a,c}
  • (v)
    {b,a}
Question 3
3.
Which of the following are true?
a)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • sin
      θ
b)
    • sin
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
c)
    • sin
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      sin
      θ
d)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
e)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
f)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      cos
      θ
  • (i)
    {f,b}
  • (ii)
    {c,f,d}
  • (iii)
    {a,b,d,e}
  • (iv)
    {c,e,a}
  • (v)
    {c,a}
Question 4
4.
    • From the given figure,
    • find
    •  
    • sin
      (
      90
      		  −  
      H
      )
  • (i)
    FG
    GH
  • (ii)
    FH
    FG
  • (iii)
    GH
    FG
  • (iv)
    GH
    FH
  • (v)
    FG
    FH
Question 5
5.
    • From the given figure,
    • find
    •  
    • cos
      (
      90
      		  −  
      G
      )
  • (i)
    EG
    FG
  • (ii)
    EF
    EG
  • (iii)
    FG
    EF
  • (iv)
    EF
    FG
  • (v)
    FG
    EG
Question 6
6.
    • From the given figure,
    • find
    •  
    • tan
      (
      90
      		  −  
      F
      )
  • (i)
    FH
    FG
  • (ii)
    FH
    GH
  • (iii)
    GH
    FH
  • (iv)
    FG
    FH
  • (v)
    FG
    GH
Question 7
7.
    • From the given figure,
    • find
    •  
    • cosec
      (
      90
      		  −  
      E
      )
  • (i)
    CD
    CE
  • (ii)
    CD
    DE
  • (iii)
    CE
    CD
  • (iv)
    CE
    DE
  • (v)
    DE
    CD
Question 8
8.
    • From the given figure,
    • find
    •  
    • sec
      (
      90
      		  −  
      K
      )
  • (i)
    JK
    IJ
  • (ii)
    JK
    IK
  • (iii)
    IJ
    JK
  • (iv)
    IK
    IJ
  • (v)
    IK
    JK
Question 9
9.
    • From the given figure,
    • find
    •  
    • cot
      (
      90
      		  −  
      G
      )
  • (i)
    EF
    FG
  • (ii)
    EG
    FG
  • (iii)
    FG
    EG
  • (iv)
    EF
    EG
  • (v)
    EG
    EF
    Assignment Key
  •  1) (i)
  •  2) (i)
  •  3) (iii)
  •  4) (iv)
  •  5) (ii)
  •  6) (v)
  •  7) (iv)
  •  8) (iv)
  •  9) (i)