EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
F
=
(i)
1
cos
F
(ii)
1
sec
F
(iii)
1
cot
F
(iv)
1
cosec
F
(v)
1
tan
F
Question
2
2.
cos
E
=
(i)
1
cot
E
(ii)
1
sin
E
(iii)
1
tan
E
(iv)
1
sec
E
(v)
1
cosec
E
Question
3
3.
tan
I
=
(i)
1
cos
I
(ii)
1
cot
I
(iii)
1
sin
I
(iv)
1
sec
I
(v)
1
cosec
I
Question
4
4.
cot
L
=
(i)
1
cos
L
(ii)
1
cosec
L
(iii)
1
tan
L
(iv)
1
sec
L
(v)
1
sin
L
Question
5
5.
sec
L
=
(i)
1
cot
L
(ii)
1
tan
L
(iii)
1
cos
L
(iv)
1
sin
L
(v)
1
cosec
L
Question
6
6.
cosec
F
=
(i)
1
sec
F
(ii)
1
cot
F
(iii)
1
sin
F
(iv)
1
tan
F
(v)
1
cos
F
Question
7
7.
If
sin
5
x
=
cos
(
(
x
+
18
)
)
, then
x
=
(i)
12
(ii)
9
(iii)
14
(iv)
13
(v)
11
Question
8
8.
If
cos
7
x
=
sin
(
(
x
+
2
)
)
, then
x
=
(i)
12
(ii)
11
(iii)
8
(iv)
14
(v)
10
Question
9
9.
If
tan
8
x
=
cot
(
(
x
−
36
)
)
, then
x
=
(i)
14
(ii)
12
(iii)
13
(iv)
17
(v)
15
Question
10
10.
If
cot
6
x
=
tan
(
(
x
−
1
)
)
, then
x
=
(i)
14
(ii)
16
(iii)
13
(iv)
10
(v)
12
Question
11
11.
If
sec
4
x
=
cosec
(
(
x
+
40
)
)
, then
x
=
(i)
9
(ii)
13
(iii)
8
(iv)
11
(v)
10
Question
12
12.
If
cosec
6
x
=
sec
(
(
x
+
27
)
)
, then
x
=
(i)
10
(ii)
7
(iii)
8
(iv)
11
(v)
9
Question
13
13.
Which of the following are true?
a)
sec
36°
=
cosec
54°
b)
cos
20°
=
sin
20°
c)
sin
40°
=
cos
50°
d)
tan
44°
=
cot
46°
e)
sin
42°
=
cos
42°
f)
sin
52°
=
cos
38°
g)
sin
30°
=
cos
60°
(i)
{b,f,g}
(ii)
{e,c}
(iii)
{b,e,d}
(iv)
{a,c,d,f,g}
(v)
{b,a}
Question
14
14.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cos
θ
b)
tan
(
90
−
θ
)
=
−
tan
θ
c)
sec
(
90
−
θ
)
=
cosec
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
cos
(
90
−
θ
)
=
cot
θ
f)
cosec
(
90
−
θ
)
=
sec
θ
(i)
{b,d}
(ii)
{b,c,d}
(iii)
{a,c}
(iv)
{c,d,f}
(v)
{e,a,f}
Question
15
15.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
−
cos
θ
b)
sin
(
90
−
θ
)
=
cos
θ
c)
tan
(
90
−
θ
)
=
cot
θ
d)
sin
(
90
−
θ
)
=
−
sin
θ
e)
cos
(
90
−
θ
)
=
sin
θ
f)
cot
(
90
−
θ
)
=
tan
θ
(i)
{b,c,e,f}
(ii)
{a,f,b}
(iii)
{a,b}
(iv)
{a,d,e}
(v)
{d,c}
Assignment Key
1) (iv)
2) (iv)
3) (ii)
4) (iii)
5) (iii)
6) (iii)
7) (i)
8) (ii)
9) (i)
10) (iii)
11) (v)
12) (v)
13) (iv)
14) (iv)
15) (i)
