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)
tan
28°
=
cot
62°
b)
cos
36°
=
sin
36°
c)
sin
58°
=
cos
32°
d)
sin
24°
=
cos
24°
e)
sin
32°
=
cos
58°
f)
sin
53°
=
cos
37°
g)
sec
25°
=
cosec
65°
(i)
{b,a}
(ii)
{b,d,e}
(iii)
{b,f,g}
(iv)
{d,c}
(v)
{a,c,e,f,g}
Question
2
2.
Which of the following are true?
a)
cot
(
90
−
θ
)
=
tan
θ
b)
cos
(
90
−
θ
)
=
cot
θ
c)
cosec
(
90
−
θ
)
=
sec
θ
d)
sec
(
90
−
θ
)
=
cosec
θ
e)
tan
(
90
−
θ
)
=
−
tan
θ
f)
cos
(
90
−
θ
)
=
cos
θ
(i)
{a,c,d}
(ii)
{b,a}
(iii)
{e,a,c}
(iv)
{e,c}
(v)
{f,b,d}
Question
3
3.
Which of the following are true?
a)
cot
(
90
−
θ
)
=
tan
θ
b)
sin
(
90
−
θ
)
=
cos
θ
c)
tan
(
90
−
θ
)
=
cot
θ
d)
sin
(
90
−
θ
)
=
−
sin
θ
e)
cos
(
90
−
θ
)
=
−
cos
θ
f)
cos
(
90
−
θ
)
=
sin
θ
(i)
{d,a}
(ii)
{d,e,c}
(iii)
{a,b,c,f}
(iv)
{e,b}
(v)
{d,f,a}
Question
4
4.
Which of the following are true?
a)
cot
(
90
+
θ
)
=
−
cot
θ
b)
cosec
(
90
+
θ
)
=
−
cosec
θ
c)
cosec
(
90
+
θ
)
=
sec
θ
d)
sec
(
90
+
θ
)
=
−
cosec
θ
e)
cot
(
90
+
θ
)
=
−
tan
θ
f)
sec
(
90
+
θ
)
=
−
sec
θ
(i)
{f,a,e}
(ii)
{b,d}
(iii)
{c,d,e}
(iv)
{b,c,d}
(v)
{a,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)
cos
(
90
+
θ
)
=
−
cos
θ
e)
sin
(
90
+
θ
)
=
cos
θ
f)
cos
(
90
+
θ
)
=
−
sin
θ
(i)
{b,a}
(ii)
{d,b,f}
(iii)
{c,e}
(iv)
{c,a,e}
(v)
{a,e,f}
Question
6
6.
Which of the following are true?
a)
tan
(
−
θ
)
=
tan
θ
b)
cos
(
−
θ
)
=
cos
θ
c)
sin
(
−
θ
)
=
sin
θ
d)
tan
(
−
θ
)
=
−
tan
θ
e)
cos
(
−
θ
)
=
−
cos
θ
f)
sin
(
−
θ
)
=
−
sin
θ
(i)
{c,d}
(ii)
{c,b,d}
(iii)
{a,b}
(iv)
{e,a,f}
(v)
{b,d,f}
Question
7
7.
Which of the following are true?
a)
cosec
(
−
θ
)
=
cosec
θ
b)
cosec
(
−
θ
)
=
−
cosec
θ
c)
sec
(
−
θ
)
=
sec
θ
d)
cot
(
−
θ
)
=
−
cot
θ
e)
cot
(
−
θ
)
=
cot
θ
f)
sec
(
−
θ
)
=
−
sec
θ
(i)
{a,b}
(ii)
{f,a,d}
(iii)
{e,b,c}
(iv)
{b,c,d}
(v)
{e,c}
Question
8
8.
Which of the following are true?
a)
sin
(
180
+
θ
)
=
cos
θ
b)
cos
(
180
+
θ
)
=
−
cos
θ
c)
sin
(
180
+
θ
)
=
−
sin
θ
d)
tan
(
180
+
θ
)
=
cot
θ
e)
cos
(
180
+
θ
)
=
sin
θ
f)
tan
(
180
+
θ
)
=
tan
θ
(i)
{b,c,f}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{d,b,c}
(v)
{e,a,f}
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)
{b,a}
(ii)
{d,a,c}
(iii)
{e,b,f}
(iv)
{d,c}
(v)
{a,c,f}
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
)
=
−
cosec
θ
d)
cot
(
180
+
θ
)
=
cot
θ
e)
cot
(
180
+
θ
)
=
tan
θ
f)
cosec
(
180
+
θ
)
=
sec
θ
(i)
{a,c,d}
(ii)
{e,a,c}
(iii)
{f,b,d}
(iv)
{e,c}
(v)
{b,a}
Question
11
11.
Which of the following are true?
a)
cot
(
180
−
θ
)
=
−
tan
θ
b)
cosec
(
180
−
θ
)
=
sec
θ
c)
sec
(
180
−
θ
)
=
−
cosec
θ
d)
cosec
(
180
−
θ
)
=
cosec
θ
e)
cot
(
180
−
θ
)
=
−
cot
θ
f)
sec
(
180
−
θ
)
=
−
sec
θ
(i)
{d,e,f}
(ii)
{b,d,e}
(iii)
{a,d}
(iv)
{b,e}
(v)
{c,a,f}
Question
12
12.
Which of the following are true?
a)
sin
(
270
+
θ
)
=
−
cos
θ
b)
cos
(
270
+
θ
)
=
cos
θ
c)
sin
(
270
+
θ
)
=
−
sin
θ
d)
cos
(
270
+
θ
)
=
sin
θ
e)
tan
(
270
+
θ
)
=
−
cot
θ
f)
tan
(
270
+
θ
)
=
−
tan
θ
(i)
{f,b,e}
(ii)
{c,a,d}
(iii)
{a,d,e}
(iv)
{c,d}
(v)
{b,a}
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)
sin
(
270
−
θ
)
=
−
sin
θ
e)
tan
(
270
−
θ
)
=
cot
θ
f)
cos
(
270
−
θ
)
=
−
cos
θ
(i)
{f,b,e}
(ii)
{d,a,c}
(iii)
{d,c}
(iv)
{b,a}
(v)
{a,c,e}
Question
14
14.
Which of the following are true?
a)
sec
(
270
+
θ
)
=
cosec
θ
b)
sec
(
270
+
θ
)
=
sec
θ
c)
cosec
(
270
+
θ
)
=
−
cosec
θ
d)
cot
(
270
+
θ
)
=
−
tan
θ
e)
cot
(
270
+
θ
)
=
−
cot
θ
f)
cosec
(
270
+
θ
)
=
−
sec
θ
(i)
{e,b,f}
(ii)
{c,a,d}
(iii)
{b,a}
(iv)
{a,d,f}
(v)
{c,d}
Question
15
15.
Which of the following are true?
a)
cot
(
270
−
θ
)
=
tan
θ
b)
sec
(
270
−
θ
)
=
−
sec
θ
c)
cosec
(
270
−
θ
)
=
−
cosec
θ
d)
cosec
(
270
−
θ
)
=
−
sec
θ
e)
sec
(
270
−
θ
)
=
−
cosec
θ
f)
cot
(
270
−
θ
)
=
cot
θ
(i)
{c,a,d}
(ii)
{f,b,e}
(iii)
{b,a}
(iv)
{a,d,e}
(v)
{c,d}
Question
16
16.
Which of the following are true?
a)
sin
(
360
+
θ
)
=
cos
θ
b)
tan
(
360
+
θ
)
=
tan
θ
c)
cos
(
360
+
θ
)
=
sin
θ
d)
sin
(
360
+
θ
)
=
sin
θ
e)
cos
(
360
+
θ
)
=
cos
θ
f)
tan
(
360
+
θ
)
=
cot
θ
(i)
{c,d}
(ii)
{b,d,e}
(iii)
{c,b,d}
(iv)
{f,a,e}
(v)
{a,b}
Question
17
17.
Which of the following are true?
a)
tan
(
360
−
θ
)
=
−
tan
θ
b)
cos
(
360
−
θ
)
=
cos
θ
c)
cos
(
360
−
θ
)
=
sin
θ
d)
tan
(
360
−
θ
)
=
−
cot
θ
e)
sin
(
360
−
θ
)
=
−
sin
θ
f)
sin
(
360
−
θ
)
=
−
cos
θ
(i)
{d,a,b}
(ii)
{f,c,e}
(iii)
{c,a}
(iv)
{d,b}
(v)
{a,b,e}
Assignment Key
1) (v)
2) (i)
3) (iii)
4) (iii)
5) (v)
6) (v)
7) (iv)
8) (i)
9) (v)
10) (i)
11) (i)
12) (iii)
13) (v)
14) (iv)
15) (iv)
16) (ii)
17) (v)
