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)
sec
44°
=
cosec
46°
b)
sin
37°
=
cos
53°
c)
tan
28°
=
cot
62°
d)
sin
34°
=
cos
56°
e)
cos
22°
=
sin
22°
f)
sin
21°
=
cos
69°
g)
sin
56°
=
cos
56°
(i)
{e,a}
(ii)
{a,b,c,d,f}
(iii)
{e,d,f}
(iv)
{g,b}
(v)
{e,g,c}
Question
2
2.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cos
θ
b)
tan
(
90
−
θ
)
=
−
tan
θ
c)
cosec
(
90
−
θ
)
=
sec
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
sec
(
90
−
θ
)
=
cosec
θ
f)
cos
(
90
−
θ
)
=
cot
θ
(i)
{b,c,d}
(ii)
{a,c}
(iii)
{c,d,e}
(iv)
{f,a,e}
(v)
{b,d}
Question
3
3.
Which of the following are true?
a)
tan
(
90
−
θ
)
=
cot
θ
b)
cos
(
90
−
θ
)
=
sin
θ
c)
cos
(
90
−
θ
)
=
−
cos
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
sin
(
90
−
θ
)
=
−
sin
θ
f)
sin
(
90
−
θ
)
=
cos
θ
(i)
{c,e,d}
(ii)
{c,f,a}
(iii)
{e,b}
(iv)
{a,b,d,f}
(v)
{c,a}
Question
4
4.
Which of the following are true?
a)
sec
(
90
+
θ
)
=
−
sec
θ
b)
cosec
(
90
+
θ
)
=
sec
θ
c)
cosec
(
90
+
θ
)
=
−
cosec
θ
d)
cot
(
90
+
θ
)
=
−
tan
θ
e)
sec
(
90
+
θ
)
=
−
cosec
θ
f)
cot
(
90
+
θ
)
=
−
cot
θ
(i)
{f,a,e}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{b,d,e}
(v)
{c,b,d}
Question
5
5.
Which of the following are true?
a)
sin
(
90
+
θ
)
=
cos
θ
b)
cos
(
90
+
θ
)
=
−
sin
θ
c)
tan
(
90
+
θ
)
=
−
cot
θ
d)
cos
(
90
+
θ
)
=
−
cos
θ
e)
sin
(
90
+
θ
)
=
−
sin
θ
f)
tan
(
90
+
θ
)
=
−
tan
θ
(i)
{d,a}
(ii)
{f,d,c}
(iii)
{e,b}
(iv)
{a,b,c}
(v)
{e,a,b}
Question
6
6.
Which of the following are true?
a)
cos
(
−
θ
)
=
−
cos
θ
b)
tan
(
−
θ
)
=
−
tan
θ
c)
sin
(
−
θ
)
=
−
sin
θ
d)
cos
(
−
θ
)
=
cos
θ
e)
tan
(
−
θ
)
=
tan
θ
f)
sin
(
−
θ
)
=
sin
θ
(i)
{b,c,d}
(ii)
{a,b}
(iii)
{e,c}
(iv)
{e,b,c}
(v)
{f,a,d}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
sec
θ
b)
cot
(
−
θ
)
=
cot
θ
c)
sec
(
−
θ
)
=
−
sec
θ
d)
cosec
(
−
θ
)
=
cosec
θ
e)
cosec
(
−
θ
)
=
−
cosec
θ
f)
cot
(
−
θ
)
=
−
cot
θ
(i)
{a,e,f}
(ii)
{b,a}
(iii)
{d,b,f}
(iv)
{c,e}
(v)
{c,a,e}
Question
8
8.
Which of the following are true?
a)
cos
(
180
+
θ
)
=
−
cos
θ
b)
tan
(
180
+
θ
)
=
cot
θ
c)
sin
(
180
+
θ
)
=
cos
θ
d)
cos
(
180
+
θ
)
=
sin
θ
e)
sin
(
180
+
θ
)
=
−
sin
θ
f)
tan
(
180
+
θ
)
=
tan
θ
(i)
{c,e}
(ii)
{a,e,f}
(iii)
{c,a,e}
(iv)
{b,a}
(v)
{d,b,f}
Question
9
9.
Which of the following are true?
a)
sin
(
180
−
θ
)
=
cos
θ
b)
sin
(
180
−
θ
)
=
sin
θ
c)
cos
(
180
−
θ
)
=
−
cos
θ
d)
tan
(
180
−
θ
)
=
−
tan
θ
e)
tan
(
180
−
θ
)
=
−
cot
θ
f)
cos
(
180
−
θ
)
=
−
sin
θ
(i)
{e,b,c}
(ii)
{b,c,d}
(iii)
{e,c}
(iv)
{a,b}
(v)
{f,a,d}
Question
10
10.
Which of the following are true?
a)
cosec
(
180
+
θ
)
=
−
cosec
θ
b)
cot
(
180
+
θ
)
=
cot
θ
c)
cot
(
180
+
θ
)
=
tan
θ
d)
cosec
(
180
+
θ
)
=
sec
θ
e)
sec
(
180
+
θ
)
=
cosec
θ
f)
sec
(
180
+
θ
)
=
−
sec
θ
(i)
{c,a}
(ii)
{e,c,f}
(iii)
{d,b}
(iv)
{a,b,f}
(v)
{d,a,b}
Question
11
11.
Which of the following are true?
a)
cot
(
180
−
θ
)
=
−
tan
θ
b)
sec
(
180
−
θ
)
=
−
sec
θ
c)
cosec
(
180
−
θ
)
=
cosec
θ
d)
cosec
(
180
−
θ
)
=
sec
θ
e)
cot
(
180
−
θ
)
=
−
cot
θ
f)
sec
(
180
−
θ
)
=
−
cosec
θ
(i)
{a,b}
(ii)
{d,c}
(iii)
{b,c,e}
(iv)
{f,a,e}
(v)
{d,b,c}
Question
12
12.
Which of the following are true?
a)
cos
(
270
+
θ
)
=
sin
θ
b)
sin
(
270
+
θ
)
=
−
sin
θ
c)
tan
(
270
+
θ
)
=
−
tan
θ
d)
sin
(
270
+
θ
)
=
−
cos
θ
e)
cos
(
270
+
θ
)
=
cos
θ
f)
tan
(
270
+
θ
)
=
−
cot
θ
(i)
{a,d,f}
(ii)
{e,b,f}
(iii)
{b,a}
(iv)
{c,a,d}
(v)
{c,d}
Question
13
13.
Which of the following are true?
a)
tan
(
270
−
θ
)
=
tan
θ
b)
tan
(
270
−
θ
)
=
cot
θ
c)
sin
(
270
−
θ
)
=
−
sin
θ
d)
sin
(
270
−
θ
)
=
−
cos
θ
e)
cos
(
270
−
θ
)
=
−
sin
θ
f)
cos
(
270
−
θ
)
=
−
cos
θ
(i)
{f,a,e}
(ii)
{a,b}
(iii)
{c,b,d}
(iv)
{c,d}
(v)
{b,d,e}
Question
14
14.
Which of the following are true?
a)
cosec
(
270
+
θ
)
=
−
sec
θ
b)
cot
(
270
+
θ
)
=
−
cot
θ
c)
cot
(
270
+
θ
)
=
−
tan
θ
d)
cosec
(
270
+
θ
)
=
−
cosec
θ
e)
sec
(
270
+
θ
)
=
cosec
θ
f)
sec
(
270
+
θ
)
=
sec
θ
(i)
{a,c,e}
(ii)
{f,b,e}
(iii)
{d,a,c}
(iv)
{d,c}
(v)
{b,a}
Question
15
15.
Which of the following are true?
a)
cot
(
270
−
θ
)
=
cot
θ
b)
sec
(
270
−
θ
)
=
−
cosec
θ
c)
sec
(
270
−
θ
)
=
−
sec
θ
d)
cosec
(
270
−
θ
)
=
−
sec
θ
e)
cot
(
270
−
θ
)
=
tan
θ
f)
cosec
(
270
−
θ
)
=
−
cosec
θ
(i)
{f,a,e}
(ii)
{c,b,d}
(iii)
{c,d}
(iv)
{a,b}
(v)
{b,d,e}
Question
16
16.
Which of the following are true?
a)
sin
(
360
+
θ
)
=
cos
θ
b)
cos
(
360
+
θ
)
=
cos
θ
c)
cos
(
360
+
θ
)
=
sin
θ
d)
sin
(
360
+
θ
)
=
sin
θ
e)
tan
(
360
+
θ
)
=
cot
θ
f)
tan
(
360
+
θ
)
=
tan
θ
(i)
{c,d}
(ii)
{a,b}
(iii)
{b,d,f}
(iv)
{e,a,f}
(v)
{c,b,d}
Question
17
17.
Which of the following are true?
a)
cos
(
360
−
θ
)
=
cos
θ
b)
sin
(
360
−
θ
)
=
−
sin
θ
c)
sin
(
360
−
θ
)
=
−
cos
θ
d)
tan
(
360
−
θ
)
=
−
cot
θ
e)
cos
(
360
−
θ
)
=
sin
θ
f)
tan
(
360
−
θ
)
=
−
tan
θ
(i)
{d,a,b}
(ii)
{e,c,f}
(iii)
{c,a}
(iv)
{a,b,f}
(v)
{d,b}
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (iv)
5) (iv)
6) (i)
7) (i)
8) (ii)
9) (ii)
10) (iv)
11) (iii)
12) (i)
13) (v)
14) (i)
15) (v)
16) (iii)
17) (iv)
