EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
J
=
(i)
1
sec
J
(ii)
1
cosec
J
(iii)
1
cos
J
(iv)
1
cot
J
(v)
1
tan
J
Question
2
2.
cos
L
=
(i)
1
sin
L
(ii)
1
cot
L
(iii)
1
tan
L
(iv)
1
cosec
L
(v)
1
sec
L
Question
3
3.
tan
C
=
(i)
1
cot
C
(ii)
1
sin
C
(iii)
1
cos
C
(iv)
1
sec
C
(v)
1
cosec
C
Question
4
4.
cot
J
=
(i)
1
cos
J
(ii)
1
sin
J
(iii)
1
tan
J
(iv)
1
sec
J
(v)
1
cosec
J
Question
5
5.
sec
B
=
(i)
1
sin
B
(ii)
1
cot
B
(iii)
1
cos
B
(iv)
1
cosec
B
(v)
1
tan
B
Question
6
6.
cosec
C
=
(i)
1
sec
C
(ii)
1
cot
C
(iii)
1
cos
C
(iv)
1
sin
C
(v)
1
tan
C
Question
7
7.
If
sin
8
x
=
cos
(
(
x
−
9
)
)
, then
x
=
(i)
13
(ii)
11
(iii)
10
(iv)
12
(v)
9
Question
8
8.
If
cos
4
x
=
sin
(
(
x
+
50
)
)
, then
x
=
(i)
7
(ii)
11
(iii)
8
(iv)
6
(v)
9
Question
9
9.
If
tan
5
x
=
cot
(
(
x
+
18
)
)
, then
x
=
(i)
13
(ii)
11
(iii)
12
(iv)
14
(v)
10
Question
10
10.
If
cot
7
x
=
tan
(
(
x
+
10
)
)
, then
x
=
(i)
8
(ii)
9
(iii)
11
(iv)
13
(v)
10
Question
11
11.
If
sec
7
x
=
cosec
(
(
x
+
18
)
)
, then
x
=
(i)
8
(ii)
11
(iii)
10
(iv)
6
(v)
9
Question
12
12.
If
cosec
6
x
=
sec
(
(
x
+
48
)
)
, then
x
=
(i)
4
(ii)
5
(iii)
8
(iv)
7
(v)
6
Question
13
13.
Which of the following are true?
a)
sec
24°
=
cosec
66°
b)
sin
54°
=
cos
36°
c)
sin
56°
=
cos
34°
d)
tan
48°
=
cot
42°
e)
cos
26°
=
sin
26°
f)
sin
31°
=
cos
31°
g)
sin
34°
=
cos
56°
(i)
{e,a}
(ii)
{f,b}
(iii)
{e,f,c}
(iv)
{a,b,c,d,g}
(v)
{e,d,g}
Question
14
14.
Which of the following are true?
a)
cot
(
90
−
θ
)
=
tan
θ
b)
tan
(
90
−
θ
)
=
−
tan
θ
c)
sec
(
90
−
θ
)
=
cosec
θ
d)
cosec
(
90
−
θ
)
=
sec
θ
e)
cos
(
90
−
θ
)
=
cos
θ
f)
cos
(
90
−
θ
)
=
cot
θ
(i)
{f,b,d}
(ii)
{e,a,c}
(iii)
{e,c}
(iv)
{b,a}
(v)
{a,c,d}
Question
15
15.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
−
cos
θ
b)
sin
(
90
−
θ
)
=
cos
θ
c)
cot
(
90
−
θ
)
=
tan
θ
d)
tan
(
90
−
θ
)
=
cot
θ
e)
cos
(
90
−
θ
)
=
sin
θ
f)
sin
(
90
−
θ
)
=
−
sin
θ
(i)
{a,e,b}
(ii)
{a,b}
(iii)
{b,c,d,e}
(iv)
{f,c}
(v)
{a,f,d}
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (iii)
5) (iii)
6) (iv)
7) (ii)
8) (iii)
9) (iii)
10) (v)
11) (v)
12) (v)
13) (iv)
14) (v)
15) (iii)
