EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
I
=
(i)
1
tan
I
(ii)
1
sec
I
(iii)
1
cosec
I
(iv)
1
cos
I
(v)
1
cot
I
Question
2
2.
cos
K
=
(i)
1
sec
K
(ii)
1
sin
K
(iii)
1
cosec
K
(iv)
1
cot
K
(v)
1
tan
K
Question
3
3.
tan
B
=
(i)
1
sin
B
(ii)
1
sec
B
(iii)
1
cos
B
(iv)
1
cot
B
(v)
1
cosec
B
Question
4
4.
cot
I
=
(i)
1
tan
I
(ii)
1
cosec
I
(iii)
1
sin
I
(iv)
1
sec
I
(v)
1
cos
I
Question
5
5.
sec
J
=
(i)
1
cot
J
(ii)
1
tan
J
(iii)
1
sin
J
(iv)
1
cos
J
(v)
1
cosec
J
Question
6
6.
cosec
B
=
(i)
1
sec
B
(ii)
1
cos
B
(iii)
1
cot
B
(iv)
1
tan
B
(v)
1
sin
B
Question
7
7.
If
sin
7
x
=
cos
(
(
x
+
2
)
)
, then
x
=
(i)
8
(ii)
11
(iii)
13
(iv)
10
(v)
12
Question
8
8.
If
cos
8
x
=
sin
(
(
x
+
27
)
)
, then
x
=
(i)
7
(ii)
6
(iii)
4
(iv)
10
(v)
8
Question
9
9.
If
tan
5
x
=
cot
(
(
x
+
12
)
)
, then
x
=
(i)
11
(ii)
12
(iii)
14
(iv)
15
(v)
13
Question
10
10.
If
cot
7
x
=
tan
(
(
x
+
10
)
)
, then
x
=
(i)
11
(ii)
10
(iii)
9
(iv)
12
(v)
7
Question
11
11.
If
sec
6
x
=
cosec
(
(
x
+
55
)
)
, then
x
=
(i)
5
(ii)
7
(iii)
4
(iv)
2
(v)
6
Question
12
12.
If
cosec
6
x
=
sec
(
(
x
+
13
)
)
, then
x
=
(i)
8
(ii)
12
(iii)
10
(iv)
13
(v)
11
Question
13
13.
Which of the following are true?
a)
sin
29°
=
cos
61°
b)
sin
20°
=
cos
20°
c)
sec
48°
=
cosec
42°
d)
cos
55°
=
sin
55°
e)
tan
39°
=
cot
51°
f)
sin
32°
=
cos
58°
g)
sin
36°
=
cos
54°
(i)
{a,c,e,f,g}
(ii)
{d,c}
(iii)
{b,a}
(iv)
{b,d,e}
(v)
{b,f,g}
Question
14
14.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cot
θ
b)
cos
(
90
−
θ
)
=
cos
θ
c)
tan
(
90
−
θ
)
=
−
tan
θ
d)
sec
(
90
−
θ
)
=
cosec
θ
e)
cosec
(
90
−
θ
)
=
sec
θ
f)
cot
(
90
−
θ
)
=
tan
θ
(i)
{b,e}
(ii)
{a,d}
(iii)
{b,d,e}
(iv)
{d,e,f}
(v)
{c,a,f}
Question
15
15.
Which of the following are true?
a)
tan
(
90
−
θ
)
=
cot
θ
b)
cos
(
90
−
θ
)
=
sin
θ
c)
sin
(
90
−
θ
)
=
−
sin
θ
d)
cos
(
90
−
θ
)
=
−
cos
θ
e)
cot
(
90
−
θ
)
=
tan
θ
f)
sin
(
90
−
θ
)
=
cos
θ
(i)
{c,f,a}
(ii)
{a,b,e,f}
(iii)
{d,b}
(iv)
{c,a}
(v)
{c,d,e}
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (i)
5) (iv)
6) (v)
7) (ii)
8) (i)
9) (v)
10) (ii)
11) (i)
12) (v)
13) (i)
14) (iv)
15) (ii)
