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
47°
=
cos
43°
b)
tan
37°
=
cot
53°
c)
cos
25°
=
sin
25°
d)
sin
56°
=
cos
56°
e)
sec
23°
=
cosec
67°
f)
sin
36°
=
cos
54°
g)
sin
34°
=
cos
56°
(i)
{c,a}
(ii)
{c,d,e}
(iii)
{d,b}
(iv)
{a,b,e,f,g}
(v)
{c,f,g}
Question
2
2.
Which of the following are true?
a)
cosec
(
90
−
θ
)
=
sec
θ
b)
cos
(
90
−
θ
)
=
cos
θ
c)
tan
(
90
−
θ
)
=
−
tan
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
cos
(
90
−
θ
)
=
cot
θ
f)
sec
(
90
−
θ
)
=
cosec
θ
(i)
{b,a}
(ii)
{e,b,f}
(iii)
{c,a,d}
(iv)
{c,d}
(v)
{a,d,f}
Question
3
3.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
sin
θ
b)
tan
(
90
−
θ
)
=
cot
θ
c)
cos
(
90
−
θ
)
=
−
cos
θ
d)
sin
(
90
−
θ
)
=
cos
θ
e)
sin
(
90
−
θ
)
=
−
sin
θ
f)
cot
(
90
−
θ
)
=
tan
θ
(i)
{c,f,a}
(ii)
{a,b,d,f}
(iii)
{e,b}
(iv)
{c,e,d}
(v)
{c,a}
Question
4
4.
Which of the following are true?
a)
cosec
(
90
+
θ
)
=
sec
θ
b)
sec
(
90
+
θ
)
=
−
cosec
θ
c)
cot
(
90
+
θ
)
=
−
tan
θ
d)
sec
(
90
+
θ
)
=
−
sec
θ
e)
cot
(
90
+
θ
)
=
−
cot
θ
f)
cosec
(
90
+
θ
)
=
−
cosec
θ
(i)
{f,d,c}
(ii)
{e,b}
(iii)
{e,a,b}
(iv)
{a,b,c}
(v)
{d,a}
Question
5
5.
Which of the following are true?
a)
cos
(
90
+
θ
)
=
−
cos
θ
b)
tan
(
90
+
θ
)
=
−
cot
θ
c)
tan
(
90
+
θ
)
=
−
tan
θ
d)
sin
(
90
+
θ
)
=
cos
θ
e)
cos
(
90
+
θ
)
=
−
sin
θ
f)
sin
(
90
+
θ
)
=
−
sin
θ
(i)
{c,b,d}
(ii)
{f,a,e}
(iii)
{a,b}
(iv)
{c,d}
(v)
{b,d,e}
Question
6
6.
Which of the following are true?
a)
sin
(
−
θ
)
=
−
sin
θ
b)
sin
(
−
θ
)
=
sin
θ
c)
cos
(
−
θ
)
=
−
cos
θ
d)
cos
(
−
θ
)
=
cos
θ
e)
tan
(
−
θ
)
=
tan
θ
f)
tan
(
−
θ
)
=
−
tan
θ
(i)
{c,a,d}
(ii)
{e,b,f}
(iii)
{b,a}
(iv)
{a,d,f}
(v)
{c,d}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
−
sec
θ
b)
sec
(
−
θ
)
=
sec
θ
c)
cot
(
−
θ
)
=
cot
θ
d)
cot
(
−
θ
)
=
−
cot
θ
e)
cosec
(
−
θ
)
=
cosec
θ
f)
cosec
(
−
θ
)
=
−
cosec
θ
(i)
{c,d}
(ii)
{c,b,d}
(iii)
{e,a,f}
(iv)
{a,b}
(v)
{b,d,f}
Question
8
8.
Which of the following are true?
a)
tan
(
180
+
θ
)
=
tan
θ
b)
tan
(
180
+
θ
)
=
cot
θ
c)
sin
(
180
+
θ
)
=
cos
θ
d)
cos
(
180
+
θ
)
=
−
cos
θ
e)
sin
(
180
+
θ
)
=
−
sin
θ
f)
cos
(
180
+
θ
)
=
sin
θ
(i)
{c,a,d}
(ii)
{f,b,e}
(iii)
{a,d,e}
(iv)
{b,a}
(v)
{c,d}
Question
9
9.
Which of the following are true?
a)
sin
(
180
−
θ
)
=
cos
θ
b)
tan
(
180
−
θ
)
=
−
tan
θ
c)
sin
(
180
−
θ
)
=
sin
θ
d)
cos
(
180
−
θ
)
=
−
cos
θ
e)
cos
(
180
−
θ
)
=
−
sin
θ
f)
tan
(
180
−
θ
)
=
−
cot
θ
(i)
{b,c,d}
(ii)
{f,a,d}
(iii)
{e,c}
(iv)
{e,b,c}
(v)
{a,b}
Question
10
10.
Which of the following are true?
a)
cot
(
180
+
θ
)
=
tan
θ
b)
sec
(
180
+
θ
)
=
cosec
θ
c)
cot
(
180
+
θ
)
=
cot
θ
d)
cosec
(
180
+
θ
)
=
−
cosec
θ
e)
cosec
(
180
+
θ
)
=
sec
θ
f)
sec
(
180
+
θ
)
=
−
sec
θ
(i)
{b,c,d}
(ii)
{c,d,f}
(iii)
{e,a,f}
(iv)
{b,d}
(v)
{a,c}
Question
11
11.
Which of the following are true?
a)
cosec
(
180
−
θ
)
=
sec
θ
b)
sec
(
180
−
θ
)
=
−
sec
θ
c)
cosec
(
180
−
θ
)
=
cosec
θ
d)
cot
(
180
−
θ
)
=
−
cot
θ
e)
sec
(
180
−
θ
)
=
−
cosec
θ
f)
cot
(
180
−
θ
)
=
−
tan
θ
(i)
{b,c,d}
(ii)
{e,c}
(iii)
{f,a,d}
(iv)
{e,b,c}
(v)
{a,b}
Question
12
12.
Which of the following are true?
a)
sin
(
270
+
θ
)
=
−
sin
θ
b)
sin
(
270
+
θ
)
=
−
cos
θ
c)
tan
(
270
+
θ
)
=
−
tan
θ
d)
cos
(
270
+
θ
)
=
sin
θ
e)
cos
(
270
+
θ
)
=
cos
θ
f)
tan
(
270
+
θ
)
=
−
cot
θ
(i)
{e,a,f}
(ii)
{c,b,d}
(iii)
{c,d}
(iv)
{a,b}
(v)
{b,d,f}
Question
13
13.
Which of the following are true?
a)
cos
(
270
−
θ
)
=
−
cos
θ
b)
sin
(
270
−
θ
)
=
−
cos
θ
c)
tan
(
270
−
θ
)
=
tan
θ
d)
cos
(
270
−
θ
)
=
−
sin
θ
e)
tan
(
270
−
θ
)
=
cot
θ
f)
sin
(
270
−
θ
)
=
−
sin
θ
(i)
{c,b,d}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{f,a,e}
(v)
{b,d,e}
Question
14
14.
Which of the following are true?
a)
cot
(
270
+
θ
)
=
−
cot
θ
b)
cosec
(
270
+
θ
)
=
−
sec
θ
c)
sec
(
270
+
θ
)
=
cosec
θ
d)
sec
(
270
+
θ
)
=
sec
θ
e)
cot
(
270
+
θ
)
=
−
tan
θ
f)
cosec
(
270
+
θ
)
=
−
cosec
θ
(i)
{b,c,e}
(ii)
{d,c}
(iii)
{f,a,e}
(iv)
{a,b}
(v)
{d,b,c}
Question
15
15.
Which of the following are true?
a)
cosec
(
270
−
θ
)
=
−
cosec
θ
b)
sec
(
270
−
θ
)
=
−
cosec
θ
c)
sec
(
270
−
θ
)
=
−
sec
θ
d)
cot
(
270
−
θ
)
=
cot
θ
e)
cot
(
270
−
θ
)
=
tan
θ
f)
cosec
(
270
−
θ
)
=
−
sec
θ
(i)
{b,e,f}
(ii)
{c,e}
(iii)
{d,a,f}
(iv)
{a,b}
(v)
{c,b,e}
Question
16
16.
Which of the following are true?
a)
tan
(
360
+
θ
)
=
tan
θ
b)
tan
(
360
+
θ
)
=
cot
θ
c)
sin
(
360
+
θ
)
=
sin
θ
d)
cos
(
360
+
θ
)
=
cos
θ
e)
cos
(
360
+
θ
)
=
sin
θ
f)
sin
(
360
+
θ
)
=
cos
θ
(i)
{a,c,d}
(ii)
{b,a}
(iii)
{e,a,c}
(iv)
{e,c}
(v)
{f,b,d}
Question
17
17.
Which of the following are true?
a)
tan
(
360
−
θ
)
=
−
tan
θ
b)
tan
(
360
−
θ
)
=
−
cot
θ
c)
sin
(
360
−
θ
)
=
−
cos
θ
d)
sin
(
360
−
θ
)
=
−
sin
θ
e)
cos
(
360
−
θ
)
=
cos
θ
f)
cos
(
360
−
θ
)
=
sin
θ
(i)
{b,a}
(ii)
{c,a,d}
(iii)
{a,d,e}
(iv)
{c,d}
(v)
{f,b,e}
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (iv)
5) (v)
6) (iv)
7) (v)
8) (iii)
9) (i)
10) (ii)
11) (i)
12) (v)
13) (v)
14) (i)
15) (i)
16) (i)
17) (iii)
