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
30°
 = 
cos
60°
b)
cos
41°
 = 
sin
41°
c)
sec
40°
 = 
cosec
50°
d)
sin
50°
 = 
cos
40°
e)
tan
52°
 = 
cot
38°
f)
sin
47°
 = 
cos
43°
g)
sin
32°
 = 
cos
32°
  • (i)
    {b,g,d}
  • (ii)
    {b,e,f}
  • (iii)
    {a,c,d,e,f}
  • (iv)
    {g,c}
  • (v)
    {b,a}
Question 2
2.
Which of the following are true?
a)
    • sec
      (
      90
      		  −  
      θ
      )
    • =
    • cosec
      θ
b)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
c)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      tan
      θ
d)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
e)
    • cosec
      (
      90
      		  −  
      θ
      )
    • =
    • sec
      θ
f)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
  • (i)
    {c,a,e}
  • (ii)
    {c,e}
  • (iii)
    {d,b,f}
  • (iv)
    {b,a}
  • (v)
    {a,e,f}
Question 3
3.
Which of the following are true?
a)
    • sin
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
b)
    • sin
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      sin
      θ
c)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • sin
      θ
d)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
e)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      cos
      θ
f)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
  • (i)
    {a,c,d,f}
  • (ii)
    {e,c}
  • (iii)
    {b,f,a}
  • (iv)
    {b,e,d}
  • (v)
    {b,a}
Question 4
4.
    • From the given figure,
    • find
    •  
    • sin
      (
      90
      		  −  
      C
      )
  • (i)
    DE
    CE
  • (ii)
    CD
    CE
  • (iii)
    CD
    DE
  • (iv)
    DE
    CD
  • (v)
    CE
    DE
Question 5
5.
    • From the given figure,
    • find
    •  
    • cos
      (
      90
      		  −  
      J
      )
  • (i)
    KL
    JK
  • (ii)
    JK
    KL
  • (iii)
    JL
    JK
  • (iv)
    KL
    JL
  • (v)
    JK
    JL
Question 6
6.
    • From the given figure,
    • find
    •  
    • tan
      (
      90
      		  −  
      G
      )
  • (i)
    FG
    EG
  • (ii)
    EG
    FG
  • (iii)
    FG
    EF
  • (iv)
    EG
    EF
  • (v)
    EF
    EG
Question 7
7.
    • From the given figure,
    • find
    •  
    • cosec
      (
      90
      		  −  
      I
      )
  • (i)
    GI
    GH
  • (ii)
    GI
    HI
  • (iii)
    HI
    GH
  • (iv)
    GH
    GI
  • (v)
    GH
    HI
Question 8
8.
    • From the given figure,
    • find
    •  
    • sec
      (
      90
      		  −  
      A
      )
  • (i)
    AB
    BC
  • (ii)
    AC
    BC
  • (iii)
    AB
    AC
  • (iv)
    BC
    AB
  • (v)
    AC
    AB
Question 9
9.
    • From the given figure,
    • find
    •  
    • cot
      (
      90
      		  −  
      I
      )
  • (i)
    IJ
    IK
  • (ii)
    JK
    IK
  • (iii)
    IK
    JK
  • (iv)
    JK
    IJ
  • (v)
    IK
    IJ
    Assignment Key
  •  1) (iii)
  •  2) (v)
  •  3) (i)
  •  4) (ii)
  •  5) (iv)
  •  6) (iii)
  •  7) (ii)
  •  8) (ii)
  •  9) (iv)