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
57°
=
cosec
33°
b)
tan
23°
=
cot
67°
c)
sin
31°
=
cos
59°
d)
sin
54°
=
cos
54°
e)
sin
28°
=
cos
62°
f)
sin
24°
=
cos
66°
g)
cos
43°
=
sin
43°
(i)
{d,g,c}
(ii)
{d,e,f}
(iii)
{a,b,c,e,f}
(iv)
{g,b}
(v)
{d,a}
Question
2
2.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
cot
θ
b)
cos
(
90
−
θ
)
=
cos
θ
c)
sec
(
90
−
θ
)
=
cosec
θ
d)
cot
(
90
−
θ
)
=
tan
θ
e)
tan
(
90
−
θ
)
=
−
tan
θ
f)
cosec
(
90
−
θ
)
=
sec
θ
(i)
{e,a,f}
(ii)
{b,d}
(iii)
{b,c,d}
(iv)
{c,d,f}
(v)
{a,c}
Question
3
3.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
−
cos
θ
b)
sin
(
90
−
θ
)
=
−
sin
θ
c)
tan
(
90
−
θ
)
=
cot
θ
d)
cos
(
90
−
θ
)
=
sin
θ
e)
sin
(
90
−
θ
)
=
cos
θ
f)
cot
(
90
−
θ
)
=
tan
θ
(i)
{c,d,e,f}
(ii)
{a,f,c}
(iii)
{a,b,e}
(iv)
{b,d}
(v)
{a,c}
Question
4
4.
Which of the following are true?
a)
cot
(
90
+
θ
)
=
−
cot
θ
b)
cot
(
90
+
θ
)
=
−
tan
θ
c)
sec
(
90
+
θ
)
=
−
cosec
θ
d)
sec
(
90
+
θ
)
=
−
sec
θ
e)
cosec
(
90
+
θ
)
=
sec
θ
f)
cosec
(
90
+
θ
)
=
−
cosec
θ
(i)
{f,a,e}
(ii)
{b,c,e}
(iii)
{a,b}
(iv)
{d,c}
(v)
{d,b,c}
Question
5
5.
Which of the following are true?
a)
cos
(
90
+
θ
)
=
−
cos
θ
b)
tan
(
90
+
θ
)
=
−
cot
θ
c)
sin
(
90
+
θ
)
=
cos
θ
d)
sin
(
90
+
θ
)
=
−
sin
θ
e)
tan
(
90
+
θ
)
=
−
tan
θ
f)
cos
(
90
+
θ
)
=
−
sin
θ
(i)
{a,b}
(ii)
{d,c}
(iii)
{b,c,f}
(iv)
{e,a,f}
(v)
{d,b,c}
Question
6
6.
Which of the following are true?
a)
sin
(
−
θ
)
=
sin
θ
b)
cos
(
−
θ
)
=
−
cos
θ
c)
tan
(
−
θ
)
=
−
tan
θ
d)
sin
(
−
θ
)
=
−
sin
θ
e)
cos
(
−
θ
)
=
cos
θ
f)
tan
(
−
θ
)
=
tan
θ
(i)
{b,d}
(ii)
{c,d,e}
(iii)
{f,a,e}
(iv)
{a,c}
(v)
{b,c,d}
Question
7
7.
Which of the following are true?
a)
sec
(
−
θ
)
=
sec
θ
b)
sec
(
−
θ
)
=
−
sec
θ
c)
cosec
(
−
θ
)
=
cosec
θ
d)
cot
(
−
θ
)
=
−
cot
θ
e)
cot
(
−
θ
)
=
cot
θ
f)
cosec
(
−
θ
)
=
−
cosec
θ
(i)
{e,b,f}
(ii)
{c,d}
(iii)
{b,a}
(iv)
{a,d,f}
(v)
{c,a,d}
Question
8
8.
Which of the following are true?
a)
tan
(
180
+
θ
)
=
cot
θ
b)
cos
(
180
+
θ
)
=
sin
θ
c)
sin
(
180
+
θ
)
=
−
sin
θ
d)
tan
(
180
+
θ
)
=
tan
θ
e)
cos
(
180
+
θ
)
=
−
cos
θ
f)
sin
(
180
+
θ
)
=
cos
θ
(i)
{b,c,d}
(ii)
{b,d}
(iii)
{a,c}
(iv)
{f,a,e}
(v)
{c,d,e}
Question
9
9.
Which of the following are true?
a)
cos
(
180
−
θ
)
=
−
cos
θ
b)
tan
(
180
−
θ
)
=
−
cot
θ
c)
sin
(
180
−
θ
)
=
sin
θ
d)
cos
(
180
−
θ
)
=
−
sin
θ
e)
sin
(
180
−
θ
)
=
cos
θ
f)
tan
(
180
−
θ
)
=
−
tan
θ
(i)
{d,c}
(ii)
{d,a,c}
(iii)
{e,b,f}
(iv)
{b,a}
(v)
{a,c,f}
Question
10
10.
Which of the following are true?
a)
cosec
(
180
+
θ
)
=
sec
θ
b)
cot
(
180
+
θ
)
=
tan
θ
c)
cosec
(
180
+
θ
)
=
−
cosec
θ
d)
sec
(
180
+
θ
)
=
cosec
θ
e)
sec
(
180
+
θ
)
=
−
sec
θ
f)
cot
(
180
+
θ
)
=
cot
θ
(i)
{c,e,f}
(ii)
{d,a,f}
(iii)
{b,c,e}
(iv)
{a,c}
(v)
{b,e}
Question
11
11.
Which of the following are true?
a)
sec
(
180
−
θ
)
=
−
sec
θ
b)
cosec
(
180
−
θ
)
=
cosec
θ
c)
cot
(
180
−
θ
)
=
−
tan
θ
d)
cosec
(
180
−
θ
)
=
sec
θ
e)
cot
(
180
−
θ
)
=
−
cot
θ
f)
sec
(
180
−
θ
)
=
−
cosec
θ
(i)
{d,a,b}
(ii)
{f,c,e}
(iii)
{a,b,e}
(iv)
{c,a}
(v)
{d,b}
Question
12
12.
Which of the following are true?
a)
tan
(
270
+
θ
)
=
−
tan
θ
b)
sin
(
270
+
θ
)
=
−
sin
θ
c)
sin
(
270
+
θ
)
=
−
cos
θ
d)
tan
(
270
+
θ
)
=
−
cot
θ
e)
cos
(
270
+
θ
)
=
sin
θ
f)
cos
(
270
+
θ
)
=
cos
θ
(i)
{b,d}
(ii)
{a,c}
(iii)
{b,c,d}
(iv)
{c,d,e}
(v)
{f,a,e}
Question
13
13.
Which of the following are true?
a)
sin
(
270
−
θ
)
=
−
cos
θ
b)
tan
(
270
−
θ
)
=
tan
θ
c)
cos
(
270
−
θ
)
=
−
sin
θ
d)
tan
(
270
−
θ
)
=
cot
θ
e)
sin
(
270
−
θ
)
=
−
sin
θ
f)
cos
(
270
−
θ
)
=
−
cos
θ
(i)
{a,c,d}
(ii)
{b,a}
(iii)
{e,a,c}
(iv)
{e,c}
(v)
{f,b,d}
Question
14
14.
Which of the following are true?
a)
cosec
(
270
+
θ
)
=
−
cosec
θ
b)
sec
(
270
+
θ
)
=
cosec
θ
c)
cot
(
270
+
θ
)
=
−
cot
θ
d)
cosec
(
270
+
θ
)
=
−
sec
θ
e)
sec
(
270
+
θ
)
=
sec
θ
f)
cot
(
270
+
θ
)
=
−
tan
θ
(i)
{a,b}
(ii)
{c,d}
(iii)
{b,d,f}
(iv)
{e,a,f}
(v)
{c,b,d}
Question
15
15.
Which of the following are true?
a)
cot
(
270
−
θ
)
=
cot
θ
b)
cot
(
270
−
θ
)
=
tan
θ
c)
sec
(
270
−
θ
)
=
−
sec
θ
d)
cosec
(
270
−
θ
)
=
−
sec
θ
e)
cosec
(
270
−
θ
)
=
−
cosec
θ
f)
sec
(
270
−
θ
)
=
−
cosec
θ
(i)
{b,d,f}
(ii)
{a,b}
(iii)
{c,b,d}
(iv)
{e,a,f}
(v)
{c,d}
Question
16
16.
Which of the following are true?
a)
cos
(
360
+
θ
)
=
sin
θ
b)
tan
(
360
+
θ
)
=
cot
θ
c)
tan
(
360
+
θ
)
=
tan
θ
d)
cos
(
360
+
θ
)
=
cos
θ
e)
sin
(
360
+
θ
)
=
cos
θ
f)
sin
(
360
+
θ
)
=
sin
θ
(i)
{b,d}
(ii)
{c,d,f}
(iii)
{e,a,f}
(iv)
{b,c,d}
(v)
{a,c}
Question
17
17.
Which of the following are true?
a)
tan
(
360
−
θ
)
=
−
tan
θ
b)
cos
(
360
−
θ
)
=
cos
θ
c)
sin
(
360
−
θ
)
=
−
cos
θ
d)
sin
(
360
−
θ
)
=
−
sin
θ
e)
tan
(
360
−
θ
)
=
−
cot
θ
f)
cos
(
360
−
θ
)
=
sin
θ
(i)
{e,a,b}
(ii)
{a,b,d}
(iii)
{f,c,d}
(iv)
{c,a}
(v)
{e,b}
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (ii)
5) (iii)
6) (ii)
7) (iv)
8) (v)
9) (v)
10) (i)
11) (iii)
12) (iv)
13) (i)
14) (iii)
15) (i)
16) (ii)
17) (ii)
