EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
B
=
(i)
1
cosec
B
(ii)
1
tan
B
(iii)
1
sec
B
(iv)
1
cot
B
(v)
1
cos
B
Question
2
2.
cos
B
=
(i)
1
cot
B
(ii)
1
sin
B
(iii)
1
cosec
B
(iv)
1
sec
B
(v)
1
tan
B
Question
3
3.
tan
M
=
(i)
1
cos
M
(ii)
1
sin
M
(iii)
1
cosec
M
(iv)
1
cot
M
(v)
1
sec
M
Question
4
4.
cot
G
=
(i)
1
cos
G
(ii)
1
sin
G
(iii)
1
sec
G
(iv)
1
cosec
G
(v)
1
tan
G
Question
5
5.
sec
F
=
(i)
1
cot
F
(ii)
1
sin
F
(iii)
1
cos
F
(iv)
1
cosec
F
(v)
1
tan
F
Question
6
6.
cosec
E
=
(i)
1
cot
E
(ii)
1
sin
E
(iii)
1
tan
E
(iv)
1
sec
E
(v)
1
cos
E
Question
7
7.
If
sin
4
x
=
cos
(
(
x
+
20
)
)
, then
x
=
(i)
16
(ii)
12
(iii)
13
(iv)
14
(v)
15
Question
8
8.
If
cos
4
x
=
sin
(
(
x
+
20
)
)
, then
x
=
(i)
14
(ii)
17
(iii)
12
(iv)
15
(v)
13
Question
9
9.
If
tan
7
x
=
cot
(
(
x
+
26
)
)
, then
x
=
(i)
9
(ii)
8
(iii)
10
(iv)
7
(v)
6
Question
10
10.
If
cot
6
x
=
tan
(
(
x
+
48
)
)
, then
x
=
(i)
3
(ii)
5
(iii)
9
(iv)
6
(v)
7
Question
11
11.
If
sec
8
x
=
cosec
(
(
x
+
9
)
)
, then
x
=
(i)
9
(ii)
7
(iii)
10
(iv)
8
(v)
12
Question
12
12.
If
cosec
4
x
=
sec
(
(
x
+
50
)
)
, then
x
=
(i)
8
(ii)
10
(iii)
9
(iv)
5
(v)
7
Question
13
13.
Which of the following are true?
a)
sin
33°
=
cos
33°
b)
tan
32°
=
cot
58°
c)
sec
30°
=
cosec
60°
d)
sin
29°
=
cos
61°
e)
cos
42°
=
sin
42°
f)
sin
34°
=
cos
56°
g)
sin
54°
=
cos
36°
(i)
{a,f,g}
(ii)
{b,c,d,f,g}
(iii)
{a,e,d}
(iv)
{a,b}
(v)
{e,c}
Question
14
14.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cot
θ
b)
cosec
(
90
−
θ
)
=
sec
θ
c)
tan
(
90
−
θ
)
=
−
tan
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
cos
(
90
−
θ
)
=
cos
θ
f)
sec
(
90
−
θ
)
=
cosec
θ
(i)
{c,d}
(ii)
{c,b,d}
(iii)
{e,a,f}
(iv)
{b,d,f}
(v)
{a,b}
Question
15
15.
Which of the following are true?
a)
sin
(
90
−
θ
)
=
cos
θ
b)
tan
(
90
−
θ
)
=
cot
θ
c)
cos
(
90
−
θ
)
=
−
cos
θ
d)
cos
(
90
−
θ
)
=
sin
θ
e)
sin
(
90
−
θ
)
=
−
sin
θ
f)
cot
(
90
−
θ
)
=
tan
θ
(i)
{c,f,a}
(ii)
{c,e,d}
(iii)
{a,b,d,f}
(iv)
{e,b}
(v)
{c,a}
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (v)
5) (iii)
6) (ii)
7) (iv)
8) (i)
9) (ii)
10) (iv)
11) (i)
12) (i)
13) (ii)
14) (iv)
15) (iii)
