EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
L
=
(i)
1
cot
L
(ii)
1
tan
L
(iii)
1
cosec
L
(iv)
1
sec
L
(v)
1
cos
L
Question
2
2.
cos
G
=
(i)
1
tan
G
(ii)
1
sec
G
(iii)
1
cosec
G
(iv)
1
sin
G
(v)
1
cot
G
Question
3
3.
tan
C
=
(i)
1
cosec
C
(ii)
1
sec
C
(iii)
1
sin
C
(iv)
1
cos
C
(v)
1
cot
C
Question
4
4.
cot
I
=
(i)
1
cos
I
(ii)
1
sec
I
(iii)
1
tan
I
(iv)
1
sin
I
(v)
1
cosec
I
Question
5
5.
sec
G
=
(i)
1
cosec
G
(ii)
1
tan
G
(iii)
1
sin
G
(iv)
1
cos
G
(v)
1
cot
G
Question
6
6.
cosec
E
=
(i)
1
sin
E
(ii)
1
cot
E
(iii)
1
sec
E
(iv)
1
cos
E
(v)
1
tan
E
Question
7
7.
If
sin
7
x
=
cos
(
(
x
+
18
)
)
, then
x
=
(i)
6
(ii)
11
(iii)
8
(iv)
9
(v)
10
Question
8
8.
If
cos
7
x
=
sin
(
(
x
+
2
)
)
, then
x
=
(i)
8
(ii)
10
(iii)
12
(iv)
13
(v)
11
Question
9
9.
If
tan
8
x
=
cot
(
(
x
−
27
)
)
, then
x
=
(i)
15
(ii)
11
(iii)
13
(iv)
14
(v)
12
Question
10
10.
If
cot
4
x
=
tan
(
(
x
+
25
)
)
, then
x
=
(i)
13
(ii)
14
(iii)
10
(iv)
16
(v)
12
Question
11
11.
If
sec
4
x
=
cosec
(
(
x
+
25
)
)
, then
x
=
(i)
13
(ii)
12
(iii)
11
(iv)
14
(v)
15
Question
12
12.
If
cosec
6
x
=
sec
(
(
x
−
8
)
)
, then
x
=
(i)
13
(ii)
15
(iii)
16
(iv)
14
(v)
12
Question
13
13.
Which of the following are true?
a)
sin
49°
=
cos
41°
b)
tan
34°
=
cot
56°
c)
sin
48°
=
cos
42°
d)
sec
51°
=
cosec
39°
e)
cos
35°
=
sin
35°
f)
sin
43°
=
cos
47°
g)
sin
44°
=
cos
44°
(i)
{e,d,f}
(ii)
{e,a}
(iii)
{a,b,c,d,f}
(iv)
{e,g,c}
(v)
{g,b}
Question
14
14.
Which of the following are true?
a)
cosec
(
90
−
θ
)
=
sec
θ
b)
cot
(
90
−
θ
)
=
tan
θ
c)
cos
(
90
−
θ
)
=
cos
θ
d)
sec
(
90
−
θ
)
=
cosec
θ
e)
cos
(
90
−
θ
)
=
cot
θ
f)
tan
(
90
−
θ
)
=
−
tan
θ
(i)
{c,a}
(ii)
{a,b,d}
(iii)
{f,c,d}
(iv)
{e,b}
(v)
{e,a,b}
Question
15
15.
Which of the following are true?
a)
cot
(
90
−
θ
)
=
tan
θ
b)
cos
(
90
−
θ
)
=
sin
θ
c)
cos
(
90
−
θ
)
=
−
cos
θ
d)
tan
(
90
−
θ
)
=
cot
θ
e)
sin
(
90
−
θ
)
=
cos
θ
f)
sin
(
90
−
θ
)
=
−
sin
θ
(i)
{a,b,d,e}
(ii)
{c,f,d}
(iii)
{c,a}
(iv)
{f,b}
(v)
{c,e,a}
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (iii)
5) (iv)
6) (i)
7) (iv)
8) (v)
9) (iii)
10) (i)
11) (i)
12) (iv)
13) (iii)
14) (ii)
15) (i)