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
59°
 = 
cos
31°
b)
sec
40°
 = 
cosec
50°
c)
tan
23°
 = 
cot
67°
d)
sin
57°
 = 
cos
57°
e)
sin
55°
 = 
cos
35°
f)
cos
26°
 = 
sin
26°
g)
sin
49°
 = 
cos
41°
  • (i)
    {f,b}
  • (ii)
    {a,b,c,e,g}
  • (iii)
    {d,e,g}
  • (iv)
    {d,a}
  • (v)
    {d,f,c}
Question 2
2.
Which of the following are true?
a)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
b)
    • sec
      (
      90
      		  −  
      θ
      )
    • =
    • cosec
      θ
c)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
d)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
e)
    • cosec
      (
      90
      		  −  
      θ
      )
    • =
    • sec
      θ
f)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      tan
      θ
  • (i)
    {d,b,c}
  • (ii)
    {f,a,e}
  • (iii)
    {b,c,e}
  • (iv)
    {a,b}
  • (v)
    {d,c}
Question 3
3.
Which of the following are true?
a)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    • sin
      θ
b)
    • sin
      (
      90
      		  −  
      θ
      )
    • =
    • cos
      θ
c)
    • cos
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      cos
      θ
d)
    • sin
      (
      90
      		  −  
      θ
      )
    • =
    •   −  
      sin
      θ
e)
    • tan
      (
      90
      		  −  
      θ
      )
    • =
    • cot
      θ
f)
    • cot
      (
      90
      		  −  
      θ
      )
    • =
    • tan
      θ
  • (i)
    {a,b,e,f}
  • (ii)
    {c,d,e}
  • (iii)
    {c,a}
  • (iv)
    {d,b}
  • (v)
    {c,f,a}
Question 4
4.
    • From the given figure,
    • find
    •  
    • sin
      (
      90
      		  −  
      C
      )
  • (i)
    AB
    BC
  • (ii)
    BC
    AC
  • (iii)
    AC
    AB
  • (iv)
    AB
    AC
  • (v)
    BC
    AB
Question 5
5.
    • From the given figure,
    • find
    •  
    • cos
      (
      90
      		  −  
      C
      )
  • (i)
    DE
    CD
  • (ii)
    CD
    DE
  • (iii)
    CD
    CE
  • (iv)
    DE
    CE
  • (v)
    CE
    CD
Question 6
6.
    • From the given figure,
    • find
    •  
    • tan
      (
      90
      		  −  
      J
      )
  • (i)
    IJ
    HJ
  • (ii)
    HJ
    IJ
  • (iii)
    HJ
    HI
  • (iv)
    IJ
    HI
  • (v)
    HI
    HJ
Question 7
7.
    • From the given figure,
    • find
    •  
    • cosec
      (
      90
      		  −  
      J
      )
  • (i)
    KL
    JK
  • (ii)
    JL
    JK
  • (iii)
    JK
    KL
  • (iv)
    JL
    KL
  • (v)
    KL
    JL
Question 8
8.
    • From the given figure,
    • find
    •  
    • sec
      (
      90
      		  −  
      B
      )
  • (i)
    BD
    BC
  • (ii)
    CD
    BC
  • (iii)
    BC
    BD
  • (iv)
    BC
    CD
  • (v)
    BD
    CD
Question 9
9.
    • From the given figure,
    • find
    •  
    • cot
      (
      90
      		  −  
      J
      )
  • (i)
    JL
    JK
  • (ii)
    KL
    JK
  • (iii)
    KL
    JL
  • (iv)
    JK
    JL
  • (v)
    JL
    KL
    Assignment Key
  •  1) (ii)
  •  2) (iii)
  •  3) (i)
  •  4) (ii)
  •  5) (iv)
  •  6) (iv)
  •  7) (ii)
  •  8) (v)
  •  9) (ii)