EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
I
=
(i)
1
cot
I
(ii)
1
sec
I
(iii)
1
cos
I
(iv)
1
cosec
I
(v)
1
tan
I
Question
2
2.
cos
H
=
(i)
1
cot
H
(ii)
1
tan
H
(iii)
1
cosec
H
(iv)
1
sin
H
(v)
1
sec
H
Question
3
3.
tan
D
=
(i)
1
cos
D
(ii)
1
cosec
D
(iii)
1
cot
D
(iv)
1
sec
D
(v)
1
sin
D
Question
4
4.
cot
F
=
(i)
1
sin
F
(ii)
1
tan
F
(iii)
1
cos
F
(iv)
1
cosec
F
(v)
1
sec
F
Question
5
5.
sec
A
=
(i)
1
sin
A
(ii)
1
cot
A
(iii)
1
cosec
A
(iv)
1
tan
A
(v)
1
cos
A
Question
6
6.
cosec
F
=
(i)
1
sec
F
(ii)
1
cot
F
(iii)
1
tan
F
(iv)
1
sin
F
(v)
1
cos
F
Question
7
7.
If
sin
5
x
=
cos
(
(
x
+
42
)
)
, then
x
=
(i)
10
(ii)
9
(iii)
7
(iv)
5
(v)
8
Question
8
8.
If
cos
6
x
=
sin
(
(
x
−
1
)
)
, then
x
=
(i)
13
(ii)
16
(iii)
12
(iv)
14
(v)
11
Question
9
9.
If
tan
8
x
=
cot
(
(
x
−
36
)
)
, then
x
=
(i)
15
(ii)
16
(iii)
11
(iv)
14
(v)
13
Question
10
10.
If
cot
6
x
=
tan
(
(
x
+
55
)
)
, then
x
=
(i)
7
(ii)
2
(iii)
5
(iv)
6
(v)
4
Question
11
11.
If
sec
5
x
=
cosec
(
(
x
+
54
)
)
, then
x
=
(i)
8
(ii)
5
(iii)
4
(iv)
6
(v)
7
Question
12
12.
If
cosec
8
x
=
sec
(
(
x
−
27
)
)
, then
x
=
(i)
15
(ii)
13
(iii)
12
(iv)
14
(v)
10
Question
13
13.
Which of the following are true?
a)
sin
43°
=
cos
47°
b)
sin
50°
=
cos
40°
c)
sin
54°
=
cos
36°
d)
sec
44°
=
cosec
46°
e)
tan
49°
=
cot
41°
f)
cos
48°
=
sin
48°
g)
sin
23°
=
cos
23°
(i)
{f,a}
(ii)
{a,b,c,d,e}
(iii)
{f,d,e}
(iv)
{f,g,c}
(v)
{g,b}
Question
14
14.
Which of the following are true?
a)
sec
(
90
−
θ
)
=
cosec
θ
b)
tan
(
90
−
θ
)
=
−
tan
θ
c)
cot
(
90
−
θ
)
=
tan
θ
d)
cos
(
90
−
θ
)
=
cot
θ
e)
cosec
(
90
−
θ
)
=
sec
θ
f)
cos
(
90
−
θ
)
=
cos
θ
(i)
{d,a,c}
(ii)
{f,b,e}
(iii)
{d,c}
(iv)
{b,a}
(v)
{a,c,e}
Question
15
15.
Which of the following are true?
a)
sin
(
90
−
θ
)
=
−
sin
θ
b)
cot
(
90
−
θ
)
=
tan
θ
c)
sin
(
90
−
θ
)
=
cos
θ
d)
cos
(
90
−
θ
)
=
sin
θ
e)
tan
(
90
−
θ
)
=
cot
θ
f)
cos
(
90
−
θ
)
=
−
cos
θ
(i)
{a,e,b}
(ii)
{f,c}
(iii)
{a,f,d}
(iv)
{a,b}
(v)
{b,c,d,e}
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (ii)
5) (v)
6) (iv)
7) (v)
8) (i)
9) (iv)
10) (iii)
11) (iv)
12) (ii)
13) (ii)
14) (v)
15) (v)
