EduSahara™ Assignment
Name : Trigonometric Ratio Equivalents
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
sin
26°
=
cos
26°
b)
sin
48°
=
cos
42°
c)
sec
52°
=
cosec
38°
d)
sin
35°
=
cos
55°
e)
tan
46°
=
cot
44°
f)
sin
49°
=
cos
41°
g)
cos
33°
=
sin
33°
(i)
{a,b}
(ii)
{b,c,d,e,f}
(iii)
{a,e,f}
(iv)
{g,c}
(v)
{a,g,d}
Question
2
2.
Which of the following are true?
a)
cosec
(
90
−
θ
)
=
sec
θ
b)
cos
(
90
−
θ
)
=
cot
θ
c)
tan
(
90
−
θ
)
=
−
tan
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
sec
(
90
−
θ
)
=
cosec
θ
f)
cos
(
90
−
θ
)
=
cos
θ
(i)
{c,a,d}
(ii)
{f,b,e}
(iii)
{c,d}
(iv)
{a,d,e}
(v)
{b,a}
Question
3
3.
Which of the following are true?
a)
sin
(
90
−
θ
)
=
cos
θ
b)
sin
(
90
−
θ
)
=
−
sin
θ
c)
tan
(
90
−
θ
)
=
cot
θ
d)
cos
(
90
−
θ
)
=
sin
θ
e)
cot
(
90
−
θ
)
=
tan
θ
f)
cos
(
90
−
θ
)
=
−
cos
θ
(i)
{f,c}
(ii)
{b,f,d}
(iii)
{a,c,d,e}
(iv)
{b,e,a}
(v)
{b,a}
Question
4
4.
Which of the following are true?
a)
cot
(
90
+
θ
)
=
−
tan
θ
b)
sec
(
90
+
θ
)
=
−
sec
θ
c)
cosec
(
90
+
θ
)
=
sec
θ
d)
cosec
(
90
+
θ
)
=
−
cosec
θ
e)
sec
(
90
+
θ
)
=
−
cosec
θ
f)
cot
(
90
+
θ
)
=
−
cot
θ
(i)
{d,c}
(ii)
{f,b,e}
(iii)
{d,a,c}
(iv)
{b,a}
(v)
{a,c,e}
Question
5
5.
Which of the following are true?
a)
tan
(
90
+
θ
)
=
−
cot
θ
b)
sin
(
90
+
θ
)
=
−
sin
θ
c)
cos
(
90
+
θ
)
=
−
sin
θ
d)
sin
(
90
+
θ
)
=
cos
θ
e)
tan
(
90
+
θ
)
=
−
tan
θ
f)
cos
(
90
+
θ
)
=
−
cos
θ
(i)
{e,a,c}
(ii)
{b,a}
(iii)
{a,c,d}
(iv)
{e,c}
(v)
{f,b,d}
Question
6
6.
Which of the following are true?
a)
sin
(
−
θ
)
=
sin
θ
b)
cos
(
−
θ
)
=
−
cos
θ
c)
sin
(
−
θ
)
=
−
sin
θ
d)
tan
(
−
θ
)
=
−
tan
θ
e)
tan
(
−
θ
)
=
tan
θ
f)
cos
(
−
θ
)
=
cos
θ
(i)
{b,d}
(ii)
{c,d,f}
(iii)
{a,c}
(iv)
{b,c,d}
(v)
{e,a,f}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
sec
θ
b)
cosec
(
−
θ
)
=
−
cosec
θ
c)
sec
(
−
θ
)
=
−
sec
θ
d)
cot
(
−
θ
)
=
cot
θ
e)
cosec
(
−
θ
)
=
cosec
θ
f)
cot
(
−
θ
)
=
−
cot
θ
(i)
{d,b}
(ii)
{c,a}
(iii)
{e,c,f}
(iv)
{d,a,b}
(v)
{a,b,f}
Question
8
8.
Which of the following are true?
a)
cos
(
180
+
θ
)
=
sin
θ
b)
sin
(
180
+
θ
)
=
−
sin
θ
c)
cos
(
180
+
θ
)
=
−
cos
θ
d)
tan
(
180
+
θ
)
=
tan
θ
e)
sin
(
180
+
θ
)
=
cos
θ
f)
tan
(
180
+
θ
)
=
cot
θ
(i)
{e,c}
(ii)
{f,a,d}
(iii)
{a,b}
(iv)
{e,b,c}
(v)
{b,c,d}
Question
9
9.
Which of the following are true?
a)
sin
(
180
−
θ
)
=
sin
θ
b)
cos
(
180
−
θ
)
=
−
sin
θ
c)
tan
(
180
−
θ
)
=
−
cot
θ
d)
cos
(
180
−
θ
)
=
−
cos
θ
e)
tan
(
180
−
θ
)
=
−
tan
θ
f)
sin
(
180
−
θ
)
=
cos
θ
(i)
{c,a,d}
(ii)
{b,a}
(iii)
{f,b,e}
(iv)
{c,d}
(v)
{a,d,e}
Question
10
10.
Which of the following are true?
a)
sec
(
180
+
θ
)
=
−
sec
θ
b)
sec
(
180
+
θ
)
=
cosec
θ
c)
cosec
(
180
+
θ
)
=
sec
θ
d)
cosec
(
180
+
θ
)
=
−
cosec
θ
e)
cot
(
180
+
θ
)
=
tan
θ
f)
cot
(
180
+
θ
)
=
cot
θ
(i)
{c,d}
(ii)
{a,d,f}
(iii)
{c,a,d}
(iv)
{e,b,f}
(v)
{b,a}
Question
11
11.
Which of the following are true?
a)
cot
(
180
−
θ
)
=
−
cot
θ
b)
cosec
(
180
−
θ
)
=
cosec
θ
c)
sec
(
180
−
θ
)
=
−
sec
θ
d)
cosec
(
180
−
θ
)
=
sec
θ
e)
cot
(
180
−
θ
)
=
−
tan
θ
f)
sec
(
180
−
θ
)
=
−
cosec
θ
(i)
{f,d,c}
(ii)
{e,b}
(iii)
{a,b,c}
(iv)
{d,a}
(v)
{e,a,b}
Question
12
12.
Which of the following are true?
a)
tan
(
270
+
θ
)
=
−
cot
θ
b)
tan
(
270
+
θ
)
=
−
tan
θ
c)
sin
(
270
+
θ
)
=
−
sin
θ
d)
cos
(
270
+
θ
)
=
cos
θ
e)
cos
(
270
+
θ
)
=
sin
θ
f)
sin
(
270
+
θ
)
=
−
cos
θ
(i)
{b,a}
(ii)
{c,e}
(iii)
{d,b,f}
(iv)
{a,e,f}
(v)
{c,a,e}
Question
13
13.
Which of the following are true?
a)
cos
(
270
−
θ
)
=
−
sin
θ
b)
tan
(
270
−
θ
)
=
tan
θ
c)
sin
(
270
−
θ
)
=
−
cos
θ
d)
tan
(
270
−
θ
)
=
cot
θ
e)
cos
(
270
−
θ
)
=
−
cos
θ
f)
sin
(
270
−
θ
)
=
−
sin
θ
(i)
{e,c}
(ii)
{b,a}
(iii)
{a,c,d}
(iv)
{e,a,c}
(v)
{f,b,d}
Question
14
14.
Which of the following are true?
a)
sec
(
270
+
θ
)
=
sec
θ
b)
sec
(
270
+
θ
)
=
cosec
θ
c)
cot
(
270
+
θ
)
=
−
tan
θ
d)
cosec
(
270
+
θ
)
=
−
cosec
θ
e)
cot
(
270
+
θ
)
=
−
cot
θ
f)
cosec
(
270
+
θ
)
=
−
sec
θ
(i)
{e,a,f}
(ii)
{d,c}
(iii)
{b,c,f}
(iv)
{d,b,c}
(v)
{a,b}
Question
15
15.
Which of the following are true?
a)
cosec
(
270
−
θ
)
=
−
sec
θ
b)
sec
(
270
−
θ
)
=
−
cosec
θ
c)
cot
(
270
−
θ
)
=
tan
θ
d)
sec
(
270
−
θ
)
=
−
sec
θ
e)
cot
(
270
−
θ
)
=
cot
θ
f)
cosec
(
270
−
θ
)
=
−
cosec
θ
(i)
{f,d,c}
(ii)
{a,b,c}
(iii)
{e,a,b}
(iv)
{e,b}
(v)
{d,a}
Question
16
16.
Which of the following are true?
a)
cos
(
360
+
θ
)
=
cos
θ
b)
tan
(
360
+
θ
)
=
cot
θ
c)
sin
(
360
+
θ
)
=
cos
θ
d)
sin
(
360
+
θ
)
=
sin
θ
e)
tan
(
360
+
θ
)
=
tan
θ
f)
cos
(
360
+
θ
)
=
sin
θ
(i)
{b,a}
(ii)
{c,d}
(iii)
{f,b,e}
(iv)
{a,d,e}
(v)
{c,a,d}
Question
17
17.
Which of the following are true?
a)
cos
(
360
−
θ
)
=
cos
θ
b)
tan
(
360
−
θ
)
=
−
tan
θ
c)
tan
(
360
−
θ
)
=
−
cot
θ
d)
sin
(
360
−
θ
)
=
−
sin
θ
e)
cos
(
360
−
θ
)
=
sin
θ
f)
sin
(
360
−
θ
)
=
−
cos
θ
(i)
{e,b}
(ii)
{c,a}
(iii)
{f,c,d}
(iv)
{a,b,d}
(v)
{e,a,b}
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (v)
5) (iii)
6) (ii)
7) (v)
8) (v)
9) (v)
10) (ii)
11) (iii)
12) (iv)
13) (iii)
14) (iii)
15) (ii)
16) (iv)
17) (iv)
