EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
sin
C
=
(i)
1
cos
C
(ii)
1
cosec
C
(iii)
1
tan
C
(iv)
1
sec
C
(v)
1
cot
C
Question
2
2.
cos
I
=
(i)
1
cosec
I
(ii)
1
tan
I
(iii)
1
sec
I
(iv)
1
cot
I
(v)
1
sin
I
Question
3
3.
tan
H
=
(i)
1
cot
H
(ii)
1
sec
H
(iii)
1
cos
H
(iv)
1
sin
H
(v)
1
cosec
H
Question
4
4.
cot
B
=
(i)
1
cos
B
(ii)
1
tan
B
(iii)
1
sec
B
(iv)
1
sin
B
(v)
1
cosec
B
Question
5
5.
sec
L
=
(i)
1
tan
L
(ii)
1
cosec
L
(iii)
1
cos
L
(iv)
1
sin
L
(v)
1
cot
L
Question
6
6.
cosec
G
=
(i)
1
sin
G
(ii)
1
cos
G
(iii)
1
tan
G
(iv)
1
sec
G
(v)
1
cot
G
Question
7
7.
If
sin
4
x
=
cos
(
(
x
+
45
)
)
, then
x
=
(i)
10
(ii)
9
(iii)
11
(iv)
8
(v)
6
Question
8
8.
If
cos
7
x
=
sin
(
(
x
−
22
)
)
, then
x
=
(i)
15
(ii)
13
(iii)
12
(iv)
14
(v)
17
Question
9
9.
If
tan
8
x
=
cot
(
(
x
−
9
)
)
, then
x
=
(i)
10
(ii)
8
(iii)
11
(iv)
12
(v)
14
Question
10
10.
If
cot
7
x
=
tan
(
(
x
−
6
)
)
, then
x
=
(i)
9
(ii)
14
(iii)
13
(iv)
12
(v)
11
Question
11
11.
If
sec
4
x
=
cosec
(
(
x
+
60
)
)
, then
x
=
(i)
4
(ii)
9
(iii)
6
(iv)
5
(v)
7
Question
12
12.
If
cosec
5
x
=
sec
(
(
x
+
12
)
)
, then
x
=
(i)
12
(ii)
14
(iii)
16
(iv)
10
(v)
13
Question
13
13.
Which of the following are true?
a)
sin
42°
=
cos
48°
b)
tan
37°
=
cot
53°
c)
sin
51°
=
cos
51°
d)
sin
58°
=
cos
32°
e)
cos
22°
=
sin
22°
f)
sin
48°
=
cos
42°
g)
sec
24°
=
cosec
66°
(i)
{e,b}
(ii)
{c,a}
(iii)
{c,e,d}
(iv)
{c,f,g}
(v)
{a,b,d,f,g}
Question
14
14.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cot
θ
b)
tan
(
90
−
θ
)
=
−
tan
θ
c)
cot
(
90
−
θ
)
=
tan
θ
d)
cos
(
90
−
θ
)
=
cos
θ
e)
cosec
(
90
−
θ
)
=
sec
θ
f)
sec
(
90
−
θ
)
=
cosec
θ
(i)
{d,a,f}
(ii)
{a,c}
(iii)
{b,e}
(iv)
{b,c,e}
(v)
{c,e,f}
Question
15
15.
Which of the following are true?
a)
sin
(
90
−
θ
)
=
cos
θ
b)
tan
(
90
−
θ
)
=
cot
θ
c)
cot
(
90
−
θ
)
=
tan
θ
d)
cos
(
90
−
θ
)
=
−
cos
θ
e)
sin
(
90
−
θ
)
=
−
sin
θ
f)
cos
(
90
−
θ
)
=
sin
θ
(i)
{d,e,c}
(ii)
{d,a}
(iii)
{a,b,c,f}
(iv)
{d,f,a}
(v)
{e,b}
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (ii)
5) (iii)
6) (i)
7) (ii)
8) (iv)
9) (iii)
10) (iv)
11) (iii)
12) (v)
13) (v)
14) (v)
15) (iii)
