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
27°
=
cosec
63°
b)
cos
39°
=
sin
39°
c)
sin
48°
=
cos
42°
d)
sin
26°
=
cos
64°
e)
sin
59°
=
cos
59°
f)
tan
58°
=
cot
32°
g)
sin
57°
=
cos
33°
(i)
{b,f,g}
(ii)
{b,a}
(iii)
{e,c}
(iv)
{a,c,d,f,g}
(v)
{b,e,d}
Question
2
2.
Which of the following are true?
a)
cosec
(
90
−
θ
)
=
sec
θ
b)
cos
(
90
−
θ
)
=
cos
θ
c)
cot
(
90
−
θ
)
=
tan
θ
d)
cos
(
90
−
θ
)
=
cot
θ
e)
tan
(
90
−
θ
)
=
−
tan
θ
f)
sec
(
90
−
θ
)
=
cosec
θ
(i)
{d,a,c}
(ii)
{e,b,f}
(iii)
{b,a}
(iv)
{d,c}
(v)
{a,c,f}
Question
3
3.
Which of the following are true?
a)
sin
(
90
−
θ
)
=
cos
θ
b)
cos
(
90
−
θ
)
=
−
cos
θ
c)
cos
(
90
−
θ
)
=
sin
θ
d)
sin
(
90
−
θ
)
=
−
sin
θ
e)
cot
(
90
−
θ
)
=
tan
θ
f)
tan
(
90
−
θ
)
=
cot
θ
(i)
{b,a}
(ii)
{b,f,a}
(iii)
{b,d,e}
(iv)
{d,c}
(v)
{a,c,e,f}
Question
4
4.
Which of the following are true?
a)
sec
(
90
+
θ
)
=
−
sec
θ
b)
cot
(
90
+
θ
)
=
−
tan
θ
c)
sec
(
90
+
θ
)
=
−
cosec
θ
d)
cot
(
90
+
θ
)
=
−
cot
θ
e)
cosec
(
90
+
θ
)
=
sec
θ
f)
cosec
(
90
+
θ
)
=
−
cosec
θ
(i)
{b,c,e}
(ii)
{a,b}
(iii)
{d,b,c}
(iv)
{f,a,e}
(v)
{d,c}
Question
5
5.
Which of the following are true?
a)
tan
(
90
+
θ
)
=
−
cot
θ
b)
sin
(
90
+
θ
)
=
−
sin
θ
c)
tan
(
90
+
θ
)
=
−
tan
θ
d)
sin
(
90
+
θ
)
=
cos
θ
e)
cos
(
90
+
θ
)
=
−
cos
θ
f)
cos
(
90
+
θ
)
=
−
sin
θ
(i)
{b,a}
(ii)
{a,d,f}
(iii)
{c,d}
(iv)
{c,a,d}
(v)
{e,b,f}
Question
6
6.
Which of the following are true?
a)
sin
(
−
θ
)
=
sin
θ
b)
tan
(
−
θ
)
=
−
tan
θ
c)
tan
(
−
θ
)
=
tan
θ
d)
cos
(
−
θ
)
=
cos
θ
e)
cos
(
−
θ
)
=
−
cos
θ
f)
sin
(
−
θ
)
=
−
sin
θ
(i)
{a,b}
(ii)
{c,d}
(iii)
{b,d,f}
(iv)
{c,b,d}
(v)
{e,a,f}
Question
7
7.
Which of the following are true?
a)
cot
(
−
θ
)
=
cot
θ
b)
sec
(
−
θ
)
=
−
sec
θ
c)
cosec
(
−
θ
)
=
−
cosec
θ
d)
cosec
(
−
θ
)
=
cosec
θ
e)
cot
(
−
θ
)
=
−
cot
θ
f)
sec
(
−
θ
)
=
sec
θ
(i)
{d,a,f}
(ii)
{b,c,e}
(iii)
{b,e}
(iv)
{a,c}
(v)
{c,e,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
)
=
sin
θ
e)
cos
(
180
+
θ
)
=
−
cos
θ
f)
sin
(
180
+
θ
)
=
−
sin
θ
(i)
{c,e}
(ii)
{c,a,e}
(iii)
{a,e,f}
(iv)
{d,b,f}
(v)
{b,a}
Question
9
9.
Which of the following are true?
a)
sin
(
180
−
θ
)
=
cos
θ
b)
sin
(
180
−
θ
)
=
sin
θ
c)
tan
(
180
−
θ
)
=
−
cot
θ
d)
cos
(
180
−
θ
)
=
−
cos
θ
e)
cos
(
180
−
θ
)
=
−
sin
θ
f)
tan
(
180
−
θ
)
=
−
tan
θ
(i)
{c,d}
(ii)
{c,b,d}
(iii)
{b,d,f}
(iv)
{a,b}
(v)
{e,a,f}
Question
10
10.
Which of the following are true?
a)
cosec
(
180
+
θ
)
=
−
cosec
θ
b)
sec
(
180
+
θ
)
=
cosec
θ
c)
cot
(
180
+
θ
)
=
cot
θ
d)
cosec
(
180
+
θ
)
=
sec
θ
e)
sec
(
180
+
θ
)
=
−
sec
θ
f)
cot
(
180
+
θ
)
=
tan
θ
(i)
{b,a}
(ii)
{f,b,e}
(iii)
{a,c,e}
(iv)
{d,a,c}
(v)
{d,c}
Question
11
11.
Which of the following are true?
a)
cot
(
180
−
θ
)
=
−
tan
θ
b)
sec
(
180
−
θ
)
=
−
sec
θ
c)
cot
(
180
−
θ
)
=
−
cot
θ
d)
cosec
(
180
−
θ
)
=
cosec
θ
e)
sec
(
180
−
θ
)
=
−
cosec
θ
f)
cosec
(
180
−
θ
)
=
sec
θ
(i)
{a,b}
(ii)
{b,c,d}
(iii)
{e,b,c}
(iv)
{f,a,d}
(v)
{e,c}
Question
12
12.
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)
tan
(
270
+
θ
)
=
−
cot
θ
e)
sin
(
270
+
θ
)
=
−
sin
θ
f)
cos
(
270
+
θ
)
=
sin
θ
(i)
{b,d,f}
(ii)
{a,b}
(iii)
{e,a,f}
(iv)
{c,d}
(v)
{c,b,d}
Question
13
13.
Which of the following are true?
a)
tan
(
270
−
θ
)
=
tan
θ
b)
cos
(
270
−
θ
)
=
−
sin
θ
c)
tan
(
270
−
θ
)
=
cot
θ
d)
sin
(
270
−
θ
)
=
−
cos
θ
e)
sin
(
270
−
θ
)
=
−
sin
θ
f)
cos
(
270
−
θ
)
=
−
cos
θ
(i)
{b,c,d}
(ii)
{e,b,c}
(iii)
{e,c}
(iv)
{f,a,d}
(v)
{a,b}
Question
14
14.
Which of the following are true?
a)
cosec
(
270
+
θ
)
=
−
cosec
θ
b)
cot
(
270
+
θ
)
=
−
tan
θ
c)
sec
(
270
+
θ
)
=
sec
θ
d)
cot
(
270
+
θ
)
=
−
cot
θ
e)
sec
(
270
+
θ
)
=
cosec
θ
f)
cosec
(
270
+
θ
)
=
−
sec
θ
(i)
{b,e,f}
(ii)
{a,b}
(iii)
{c,e}
(iv)
{d,a,f}
(v)
{c,b,e}
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)
cosec
(
270
−
θ
)
=
−
sec
θ
e)
cot
(
270
−
θ
)
=
tan
θ
f)
cot
(
270
−
θ
)
=
cot
θ
(i)
{c,b,d}
(ii)
{f,a,e}
(iii)
{b,d,e}
(iv)
{a,b}
(v)
{c,d}
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
)
=
cos
θ
d)
cos
(
360
+
θ
)
=
cos
θ
e)
cos
(
360
+
θ
)
=
sin
θ
f)
sin
(
360
+
θ
)
=
sin
θ
(i)
{a,d,f}
(ii)
{c,d}
(iii)
{c,a,d}
(iv)
{b,a}
(v)
{e,b,f}
Question
17
17.
Which of the following are true?
a)
sin
(
360
−
θ
)
=
−
sin
θ
b)
cos
(
360
−
θ
)
=
cos
θ
c)
cos
(
360
−
θ
)
=
sin
θ
d)
tan
(
360
−
θ
)
=
−
tan
θ
e)
sin
(
360
−
θ
)
=
−
cos
θ
f)
tan
(
360
−
θ
)
=
−
cot
θ
(i)
{e,b}
(ii)
{c,a}
(iii)
{f,c,d}
(iv)
{e,a,b}
(v)
{a,b,d}
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (i)
5) (ii)
6) (iii)
7) (v)
8) (iii)
9) (iii)
10) (iii)
11) (ii)
12) (i)
13) (i)
14) (i)
15) (iii)
16) (i)
17) (v)
